100215354400 has 72 divisors (see below), whose sum is σ = 279600854400. Its totient is φ = 34359548160.

The previous prime is 100215354311. The next prime is 100215354457. The reversal of 100215354400 is 4453512001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8942200 + ... + 8953399.

It is an arithmetic number, because the mean of its divisors is an integer number (3883345200).

Almost surely, 2^100215354400 is an apocalyptic number.

100215354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100215354400 is an abundant number, since it is smaller than the sum of its proper divisors (179385500000).

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

100215354400 is a wasteful number, since it uses less digits than its factorization.

100215354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17895626 (or 17895613 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 100215354400 its reverse (4453512001), we get a palindrome (104668866401).

The spelling of 100215354400 in words is "one hundred billion, two hundred fifteen million, three hundred fifty-four thousand, four hundred".