10052504100 has 108 divisors (see below), whose sum is σ = 32360717844. Its totient is φ = 2608208640.

The previous prime is 10052504053. The next prime is 10052504123. The reversal of 10052504100 is 140525001.

10052504100 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 250 + 410 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 881377344 + 9171126756 = 29688^2 + 95766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117639 + ... + 184238.

Almost surely, 2^10052504100 is an apocalyptic number.

10052504100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10052504100 is an abundant number, since it is smaller than the sum of its proper divisors (22308213744).

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

10052504100 is a wasteful number, since it uses less digits than its factorization.

10052504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301934 (or 301924 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 10052504100 in words is "ten billion, fifty-two million, five hundred four thousand, one hundred".