100532400 has 60 divisors (see below), whose sum is σ = 322042632. Its totient is φ = 26808320.

The previous prime is 100532387. The next prime is 100532417. The reversal of 100532400 is 4235001.

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

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 100532400.

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, 40689 + ... + 43088.

Almost surely, 2^100532400 is an apocalyptic number.

100532400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100532400 is an abundant number, since it is smaller than the sum of its proper divisors (221510232).

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

100532400 is a wasteful number, since it uses less digits than its factorization.

100532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83798 (or 83787 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100532400 is about 10026.5846627852. The cubic root of 100532400 is about 464.9811531268.

Adding to 100532400 its reverse (4235001), we get a palindrome (104767401).

The spelling of 100532400 in words is "one hundred million, five hundred thirty-two thousand, four hundred".