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103450100 = 2252131731151
BaseRepresentation
bin1100010101010…
…00010111110100
321012122210212012
412022220113310
5202440400400
614133143352
72364211535
oct612502764
9235583765
10103450100
1153438656
122a78ab58
1318580ca0
14da4c68c
159136d35
hex62a85f4

103450100 has 144 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 34560000.

The previous prime is 103450099. The next prime is 103450103. The reversal of 103450100 is 1054301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103450103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685025 + ... + 685175.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2103450100 is an apocalyptic number.

103450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

103450100 is an abundant number, since it is smaller than the sum of its proper divisors (162532876).

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

103450100 is a wasteful number, since it uses less digits than its factorization.

103450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 103450100 is about 10171.0422278152. The cubic root of 103450100 is about 469.4366269202.

The spelling of 103450100 in words is "one hundred three million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 31 34 50 52 62 65 68 85 100 124 130 151 155 170 221 260 302 310 325 340 403 425 442 527 604 620 650 755 775 806 850 884 1054 1105 1300 1510 1550 1612 1700 1963 2015 2108 2210 2567 2635 3020 3100 3775 3926 4030 4420 4681 5134 5270 5525 6851 7550 7852 8060 9362 9815 10075 10268 10540 11050 12835 13175 13702 15100 18724 19630 20150 22100 23405 25670 26350 27404 33371 34255 39260 40300 46810 49075 51340 52700 60853 64175 66742 68510 79577 93620 98150 117025 121706 128350 133484 137020 159154 166855 171275 196300 234050 243412 256700 304265 318308 333710 342550 397885 468100 608530 667420 685100 795770 834275 1034501 1217060 1521325 1591540 1668550 1989425 2069002 3042650 3337100 3978850 4138004 5172505 6085300 7957700 10345010 20690020 25862525 51725050 103450100