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106941054000 = 24353111620319
BaseRepresentation
bin110001110011000101…
…1101111110000110000
3101020000220110102022210
41203212023233300300
53223003402212000
6121043353532120
710504045650354
oct1434613576060
9336026412283
10106941054000
1141398489770
1218886414040
13a1138473a1
145266c35464
152bad7ad350
hex18e62efc30

106941054000 has 160 divisors (see below), whose sum is σ = 376121640960. Its totient is φ = 25925088000.

The previous prime is 106941053987. The next prime is 106941054001. The reversal of 106941054000 is 450149601.

It is a happy number.

It is a super-2 number, since 2×1069410540002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106941054001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744160 + ... + 876159.

It is an arithmetic number, because the mean of its divisors is an integer number (2350760256).

Almost surely, 2106941054000 is an apocalyptic number.

106941054000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106941054000 is an abundant number, since it is smaller than the sum of its proper divisors (269180586960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106941054000 is a wasteful number, since it uses less digits than its factorization.

106941054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620356 (or 1620340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 106941054000 in words is "one hundred six billion, nine hundred forty-one million, fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 1620319 3240638 4860957 6481276 8101595 9721914 12962552 16203190 17823509 19443828 24304785 25925104 32406380 35647018 38887656 40507975 48609570 53470527 64812760 71294036 77775312 81015950 89117545 97219140 106941054 121523925 129625520 142588072 162031900 178235090 194438280 202539875 213882108 243047850 267352635 285176144 324063800 356470180 388876560 405079750 427764216 445587725 486095700 534705270 607619625 648127600 712940360 810159500 855528432 891175450 972191400 1069410540 1215239250 1336763175 1425880720 1620319000 1782350900 1944382800 2138821080 2227938625 2430478500 2673526350 3240638000 3564701800 4277642160 4455877250 4860957000 5347052700 6683815875 7129403600 8911754500 9721914000 10694105400 13367631750 17823509000 21388210800 26735263500 35647018000 53470527000 106941054000