100431264 has 48 divisors (see below), whose sum is σ = 277512480. Its totient is φ = 31714560.

The previous prime is 100431259. The next prime is 100431277. The reversal of 100431264 is 462134001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100431264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25707 + ... + 29354.

It is an arithmetic number, because the mean of its divisors is an integer number (5781510).

Almost surely, 2^100431264 is an apocalyptic number.

It is an amenable number.

100431264 is an abundant number, since it is smaller than the sum of its proper divisors (177081216).

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

100431264 is a wasteful number, since it uses less digits than its factorization.

100431264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55093 (or 55085 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 100431264 is about 10021.5400014169. The cubic root of 100431264 is about 464.8251765053.

Adding to 100431264 its reverse (462134001), we get a palindrome (562565265).

The spelling of 100431264 in words is "one hundred million, four hundred thirty-one thousand, two hundred sixty-four".