100364402400 has 72 divisors (see below), whose sum is σ = 326686137624. Its totient is φ = 26763840000.

The previous prime is 100364402381. The next prime is 100364402401. The reversal of 100364402400 is 4204463001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100364402401) 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, 20906851 + ... + 20911650.

It is an arithmetic number, because the mean of its divisors is an integer number (4537307467).

Almost surely, 2^100364402400 is an apocalyptic number.

100364402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100364402400 is an abundant number, since it is smaller than the sum of its proper divisors (226321735224).

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

100364402400 is a wasteful number, since it uses less digits than its factorization.

100364402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41818524 (or 41818511 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100364402400 its reverse (4204463001), we get a palindrome (104568865401).

The spelling of 100364402400 in words is "one hundred billion, three hundred sixty-four million, four hundred two thousand, four hundred".