100031264 has 24 divisors (see below), whose sum is σ = 208522188. Its totient is φ = 47073280.

The previous prime is 100031263. The next prime is 100031293. The reversal of 100031264 is 462130001.

It can be written as a sum of positive squares in 2 ways, for example, as 98803600 + 1227664 = 9940^2 + 1108^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (100031263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91397 + ... + 92484.

Almost surely, 2^100031264 is an apocalyptic number.

It is an amenable number.

100031264 is an abundant number, since it is smaller than the sum of its proper divisors (108490924).

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

100031264 is a wasteful number, since it uses less digits than its factorization.

100031264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183908 (or 183900 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 100031264 is about 10001.5630778394. The cubic root of 100031264 is about 464.2072498656.

Adding to 100031264 its reverse (462130001), we get a palindrome (562161265).

The spelling of 100031264 in words is "one hundred million, thirty-one thousand, two hundred sixty-four".