10100510656 has 56 divisors (see below), whose sum is σ = 21307257360. Its totient is φ = 4737024000.

The previous prime is 10100510653. The next prime is 10100510657. The reversal of 10100510656 is 65601500101.

It is a self number, because there is not a number n which added to its sum of digits gives 10100510656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100510653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81696 + ... + 163936.

Almost surely, 2^10100510656 is an apocalyptic number.

10100510656 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 10100510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653628680).

10100510656 is an abundant number, since it is smaller than the sum of its proper divisors (11206746704).

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

10100510656 is a wasteful number, since it uses less digits than its factorization.

10100510656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82373 (or 82363 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10100510656 in words is "ten billion, one hundred million, five hundred ten thousand, six hundred fifty-six".