102605000256 has 168 divisors, whose sum is σ = 320997986400. Its totient is φ = 31076628480.

The previous prime is 102605000243. The next prime is 102605000269. The reversal of 102605000256 is 652000506201.

102605000256 is a `hidden beast` number, since 1 + 0 + 2 + 605 + 0 + 0 + 0 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (102605000243) and next prime (102605000269).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20646540 + ... + 20651508.

It is an arithmetic number, because the mean of its divisors is an integer number (1910702300).

Almost surely, 2^102605000256 is an apocalyptic number.

102605000256 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 102605000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160498993200).

102605000256 is an abundant number, since it is smaller than the sum of its proper divisors (218392986144).

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

102605000256 is a wasteful number, since it uses less digits than its factorization.

102605000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102605000256 its reverse (652000506201), we get a palindrome (754605506457).

The spelling of 102605000256 in words is "one hundred two billion, six hundred five million, two hundred fifty-six", and thus it is an aban number.