10112505600 has 432 divisors, whose sum is σ = 34672780800. Its totient is φ = 2594242560.

The previous prime is 10112505593. The next prime is 10112505619. The reversal of 10112505600 is 650521101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89491144 + ... + 89491256.

Almost surely, 2^10112505600 is an apocalyptic number.

10112505600 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 10112505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336390400).

10112505600 is an abundant number, since it is smaller than the sum of its proper divisors (24560275200).

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

10112505600 is a wasteful number, since it uses less digits than its factorization.

10112505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 10112505600 in words is "ten billion, one hundred twelve million, five hundred five thousand, six hundred".