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107195904 = 293243541
BaseRepresentation
bin1100110001110…
…10111000000000
321110201010010200
412120322320000
5204420232104
614345325200
72441102334
oct630727000
9243633120
10107195904
1155566962
122ba96800
1319292c3a
14103457c4
159626b39
hex663ae00

107195904 has 120 divisors (see below), whose sum is σ = 317154552. Its totient is φ = 34836480.

The previous prime is 107195887. The next prime is 107195951. The reversal of 107195904 is 409591701.

It is a super-2 number, since 2×1071959042 = 22981923668754432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197874 + ... + 198414.

Almost surely, 2107195904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158577276).

107195904 is an abundant number, since it is smaller than the sum of its proper divisors (209958648).

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

107195904 is an equidigital number, since it uses as much as digits as its factorization.

107195904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 107195904 is about 10353.5454796896. The cubic root of 107195904 is about 475.0354972549.

The spelling of 107195904 in words is "one hundred seven million, one hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 541 576 688 768 774 1032 1082 1152 1376 1536 1548 1623 2064 2164 2304 2752 3096 3246 4128 4328 4608 4869 5504 6192 6492 8256 8656 9738 11008 12384 12984 16512 17312 19476 22016 23263 24768 25968 33024 34624 38952 46526 49536 51936 66048 69248 69789 77904 93052 99072 103872 138496 139578 155808 186104 198144 207744 209367 276992 279156 311616 372208 415488 418734 558312 623232 744416 830976 837468 1116624 1246464 1488832 1674936 2233248 2492928 2977664 3349872 4466496 5955328 6699744 8932992 11910656 13399488 17865984 26798976 35731968 53597952 107195904