10102256892 has 432 divisors, whose sum is σ = 33252710400. Its totient is φ = 2582326656.

The previous prime is 10102256881. The next prime is 10102256893. The reversal of 10102256892 is 29865220101.

10102256892 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 2 + 568 + 92 = 666.

It is a super-2 number, since 2×10102256892² (a number of 21 digits) 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 not an unprimeable number, because it can be changed into a prime (10102256893) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98080113 + ... + 98080215.

Almost surely, 2^10102256892 is an apocalyptic number.

10102256892 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 10102256892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626355200).

10102256892 is an abundant number, since it is smaller than the sum of its proper divisors (23150453508).

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

10102256892 is a wasteful number, since it uses less digits than its factorization.

10102256892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 10102256892 its reverse (29865220101), we get a palindrome (39967476993).

The spelling of 10102256892 in words is "ten billion, one hundred two million, two hundred fifty-six thousand, eight hundred ninety-two".