100342400 has 48 divisors (see below), whose sum is σ = 247884990. Its totient is φ = 40135680.

The previous prime is 100342387. The next prime is 100342441. The reversal of 100342400 is 4243001.

It can be written as a sum of positive squares in 3 ways, for example, as 84787264 + 15555136 = 9208^2 + 3944^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12479 + ... + 18878.

Almost surely, 2^100342400 is an apocalyptic number.

100342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100342400 is an abundant number, since it is smaller than the sum of its proper divisors (147542590).

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

100342400 is an equidigital number, since it uses as much as digits as its factorization.

100342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31381 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100342400 is about 10017.1053703153. The cubic root of 100342400 is about 464.6880398816.

Adding to 100342400 its reverse (4243001), we get a palindrome (104585401).

The spelling of 100342400 in words is "one hundred million, three hundred forty-two thousand, four hundred".