100432233332400 has 120 divisors (see below), whose sum is σ = 326519681047744. Its totient is φ = 26382198585600.

The previous prime is 100432233332341. The next prime is 100432233332437. The reversal of 100432233332400 is 4233332234001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624498166 + ... + 624658965.

Almost surely, 2^{100432233332400} is an apocalyptic number.

100432233332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100432233332400 is an abundant number, since it is smaller than the sum of its proper divisors (226087447715344).

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

100432233332400 is a wasteful number, since it uses less digits than its factorization.

100432233332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249157219 (or 1249157208 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 100432233332400 its reverse (4233332234001), we get a palindrome (104665565566401).

The spelling of 100432233332400 in words is "one hundred trillion, four hundred thirty-two billion, two hundred thirty-three million, three hundred thirty-two thousand, four hundred".