100413432100 has 36 divisors (see below), whose sum is σ = 223211721348. Its totient is φ = 39185728000.

The previous prime is 100413432079. The next prime is 100413432107. The reversal of 100413432100 is 1234314001.

It can be written as a sum of positive squares in 6 ways, for example, as 34986954304 + 65426477796 = 187048^2 + 255786^2 .

It is a super-2 number, since 2×100413432100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100413432107) 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, 12241441 + ... + 12249640.

It is an arithmetic number, because the mean of its divisors is an integer number (6200325593).

Almost surely, 2^100413432100 is an apocalyptic number.

100413432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100413432100 is an abundant number, since it is smaller than the sum of its proper divisors (122798289248).

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

100413432100 is a wasteful number, since it uses less digits than its factorization.

100413432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24491136 (or 24491129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100413432100 its reverse (1234314001), we get a palindrome (101647746101).

The spelling of 100413432100 in words is "one hundred billion, four hundred thirteen million, four hundred thirty-two thousand, one hundred".