100432123200 has 126 divisors (see below), whose sum is σ = 356959530174. Its totient is φ = 26781895680.

The previous prime is 100432123193. The next prime is 100432123273. The reversal of 100432123200 is 2321234001.

100432123200 is a `hidden beast` number, since 1 + 0 + 0 + 432 + 1 + 232 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9522637056 + 90909486144 = 97584^2 + 301512^2 .

It is a super-2 number, since 2×100432123200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3472827 + ... + 3501626.

Almost surely, 2^100432123200 is an apocalyptic number.

100432123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432123200 is an abundant number, since it is smaller than the sum of its proper divisors (256527406974).

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

100432123200 is a wasteful number, since it uses less digits than its factorization.

100432123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974481 (or 6974463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100432123200 its reverse (2321234001), we get a palindrome (102753357201).

The spelling of 100432123200 in words is "one hundred billion, four hundred thirty-two million, one hundred twenty-three thousand, two hundred".