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106052558170 = 251322311932287
BaseRepresentation
bin110001011000100111…
…0011001110101011010
3101010201222121011011211
41202301032121311122
53214143423330140
6120415254213334
710443036604456
oct1426116316532
9333658534154
10106052558170
1140a819a4699
121867895424a
13a00174b100
1451c0c31666
152b5a7a52ea
hex18b1399d5a

106052558170 has 96 divisors (see below), whose sum is σ = 215970872832. Its totient is φ = 37407591936.

The previous prime is 106052558099. The next prime is 106052558179. The reversal of 106052558170 is 71855250601.

It is a happy number.

It is a super-2 number, since 2×1060525581702 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106052558179) 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 47 ways as a sum of consecutive naturals, for example, 46370767 + ... + 46373053.

It is an arithmetic number, because the mean of its divisors is an integer number (2249696592).

Almost surely, 2106052558170 is an apocalyptic number.

106052558170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106052558170 is an abundant number, since it is smaller than the sum of its proper divisors (109918314662).

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

106052558170 is a wasteful number, since it uses less digits than its factorization.

106052558170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 106052558170 in words is "one hundred six billion, fifty-two million, five hundred fifty-eight thousand, one hundred seventy".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 169 230 299 338 598 845 1193 1495 1690 2287 2386 2990 3887 4574 5965 7774 11435 11930 15509 19435 22870 27439 29731 31018 38870 52601 54878 59462 77545 105202 137195 148655 155090 201617 263005 274390 297310 356707 386503 403234 526010 683813 713414 773006 1008085 1367626 1783535 1932515 2016170 2728391 3419065 3567070 3865030 4637191 5456782 6838130 8889569 9274382 13641955 17779138 23185955 27283910 35469083 44447845 46371910 62752993 70938166 88895690 125505986 177345415 313764965 354690830 461098079 627529930 815788909 922196158 1631577818 2305490395 4078944545 4610980790 8157889090 10605255817 21210511634 53026279085 106052558170