10056256100 has 72 divisors (see below), whose sum is σ = 23824079328. Its totient is φ = 3654028800.

The previous prime is 10056256097. The next prime is 10056256117. The reversal of 10056256100 is 165265001.

It is a super-2 number, since 2×10056256100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10056256100.

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, 1919084 + ... + 1924316.

Almost surely, 2^10056256100 is an apocalyptic number.

10056256100 is a gapful number since it is divisible by the number (10) 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 10056256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912039664).

10056256100 is an abundant number, since it is smaller than the sum of its proper divisors (13767823228).

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

10056256100 is a wasteful number, since it uses less digits than its factorization.

10056256100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10056256100 in words is "ten billion, fifty-six million, two hundred fifty-six thousand, one hundred".