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108135612 = 2232131912161
BaseRepresentation
bin1100111001000…
…00010010111100
321112110212011200
412130200102330
5210140314422
614421415500
72452065114
oct634402274
9245425150
10108135612
1156048982
123026a590
1319531890
141050c044
1597602ac
hex67204bc

108135612 has 72 divisors (see below), whose sum is σ = 309887760. Its totient is φ = 31518720.

The previous prime is 108135611. The next prime is 108135649. The reversal of 108135612 is 216531801.

108135612 is a `hidden beast` number, since 10 + 8 + 1 + 35 + 612 = 666.

It is a super-2 number, since 2×1081356122 = 23386621165229088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108135611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2812 + ... + 14972.

Almost surely, 2108135612 is an apocalyptic number.

108135612 is a gapful number since it is divisible by the number (12) 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 108135612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154943880).

108135612 is an abundant number, since it is smaller than the sum of its proper divisors (201752148).

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

108135612 is a wasteful number, since it uses less digits than its factorization.

108135612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12203 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 108135612 is about 10398.8274338985. The cubic root of 108135612 is about 476.4195568789.

The spelling of 108135612 in words is "one hundred eight million, one hundred thirty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 12161 24322 36483 48644 72966 109449 145932 158093 218898 231059 316186 437796 462118 474279 632372 693177 924236 948558 1386354 1422837 1897116 2079531 2772708 2845674 3003767 4159062 5691348 6007534 8318124 9011301 12015068 18022602 27033903 36045204 54067806 108135612