102688512858 has 80 divisors (see below), whose sum is σ = 238231208160. Its totient is φ = 33021626400.

The previous prime is 102688512853. The next prime is 102688512907. The reversal of 102688512858 is 858215886201.

102688512858 is a `hidden beast` number, since 10 + 2 + 68 + 8 + 512 + 8 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102688512853) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6056653 + ... + 6073583.

It is an arithmetic number, because the mean of its divisors is an integer number (2977890102).

Almost surely, 2^102688512858 is an apocalyptic number.

102688512858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102688512858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119115604080).

102688512858 is an abundant number, since it is smaller than the sum of its proper divisors (135542695302).

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

102688512858 is a wasteful number, since it uses less digits than its factorization.

102688512858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18265 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 102688512858 in words is "one hundred two billion, six hundred eighty-eight million, five hundred twelve thousand, eight hundred fifty-eight".