100252521 has 12 divisors (see below), whose sum is σ = 147542148. Its totient is φ = 65573664.

The previous prime is 100252517. The next prime is 100252541. The reversal of 100252521 is 125252001.

It can be written as a sum of positive squares in 2 ways, for example, as 73874025 + 26378496 = 8595^2 + 5136^2 .

It is not a de Polignac number, because 100252521 - 2² = 100252517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100252494 and 100252503.

It is not an unprimeable number, because it can be changed into a prime (100252511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104610 + ... + 105563.

It is an arithmetic number, because the mean of its divisors is an integer number (12295179).

Almost surely, 2^100252521 is an apocalyptic number.

It is an amenable number.

100252521 is a deficient number, since it is larger than the sum of its proper divisors (47289627).

100252521 is a wasteful number, since it uses less digits than its factorization.

100252521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210232 (or 210229 counting only the distinct ones).

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

The square root of 100252521 is about 10012.6180891913. The cubic root of 100252521 is about 464.5492545070.

The spelling of 100252521 in words is "one hundred million, two hundred fifty-two thousand, five hundred twenty-one".