100952341200 has 150 divisors (see below), whose sum is σ = 362309967734. Its totient is φ = 26920615680.

The previous prime is 100952341163. The next prime is 100952341319. The reversal of 100952341200 is 2143259001.

100952341200 is a `hidden beast` number, since 10 + 0 + 9 + 523 + 4 + 120 + 0 = 666.

100952341200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3376074816 + 97576266384 = 58104^2 + 312372^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×100952341200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1525507 + ... + 1590306.

Almost surely, 2^100952341200 is an apocalyptic number.

100952341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100952341200 is an abundant number, since it is smaller than the sum of its proper divisors (261357626534).

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

100952341200 is a wasteful number, since it uses less digits than its factorization.

100952341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115843 (or 3115823 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 100952341200 in words is "one hundred billion, nine hundred fifty-two million, three hundred forty-one thousand, two hundred".