100523253200 has 60 divisors (see below), whose sum is σ = 241547530668. Its totient is φ = 40202572800.

The previous prime is 100523253169. The next prime is 100523253211. The reversal of 100523253200 is 2352325001.

It can be written as a sum of positive squares in 6 ways, for example, as 2584298896 + 97938954304 = 50836^2 + 312952^2 .

It is a super-2 number, since 2×100523253200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2867780 + ... + 2902620.

Almost surely, 2^100523253200 is an apocalyptic number.

100523253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100523253200 is an abundant number, since it is smaller than the sum of its proper divisors (141024277468).

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

100523253200 is a wasteful number, since it uses less digits than its factorization.

100523253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42072 (or 42061 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 100523253200 its reverse (2352325001), we get a palindrome (102875578201).

The spelling of 100523253200 in words is "one hundred billion, five hundred twenty-three million, two hundred fifty-three thousand, two hundred".