102555611136 has 1248 divisors, whose sum is σ = 386405510400. Its totient is φ = 26754416640.

The previous prime is 102555611131. The next prime is 102555611141. The reversal of 102555611136 is 631116555201.

102555611136 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 5 + 611 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (102555611131) and next prime (102555611141).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102555611136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102555611131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3536400370 + ... + 3536400398.

It is an arithmetic number, because the mean of its divisors is an integer number (309619800).

Almost surely, 2^102555611136 is an apocalyptic number.

102555611136 is a gapful number since it is divisible by the number (16) 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 102555611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193202755200).

102555611136 is an abundant number, since it is smaller than the sum of its proper divisors (283849899264).

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

102555611136 is a wasteful number, since it uses less digits than its factorization.

102555611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 102555611136 in words is "one hundred two billion, five hundred fifty-five million, six hundred eleven thousand, one hundred thirty-six".