100442400 has 72 divisors (see below), whose sum is σ = 326947824. Its totient is φ = 26784000.

The previous prime is 100442371. The next prime is 100442413. The reversal of 100442400 is 4244001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100442400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18526 + ... + 23325.

It is an arithmetic number, because the mean of its divisors is an integer number (4540942).

Almost surely, 2^100442400 is an apocalyptic number.

100442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100442400 is an abundant number, since it is smaller than the sum of its proper divisors (226505424).

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

100442400 is a wasteful number, since it uses less digits than its factorization.

100442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41874 (or 41861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 100442400 is about 10022.0955892468. The cubic root of 100442400 is about 464.8423560888.

Adding to 100442400 its reverse (4244001), we get a palindrome (104686401).

The spelling of 100442400 in words is "one hundred million, four hundred forty-two thousand, four hundred".