100268400 has 60 divisors (see below), whose sum is σ = 321196952. Its totient is φ = 26737920.

The previous prime is 100268393. The next prime is 100268423. The reversal of 100268400 is 4862001.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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, 40579 + ... + 42978.

Almost surely, 2^100268400 is an apocalyptic number.

100268400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100268400 is an abundant number, since it is smaller than the sum of its proper divisors (220928552).

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

100268400 is a wasteful number, since it uses less digits than its factorization.

100268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83578 (or 83567 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100268400 is about 10013.4110072442. The cubic root of 100268400 is about 464.5737798693.

The spelling of 100268400 in words is "one hundred million, two hundred sixty-eight thousand, four hundred".