100005264 has 30 divisors (see below), whose sum is σ = 279876246. Its totient is φ = 33335040.

The previous prime is 100005263. The next prime is 100005281. The reversal of 100005264 is 462500001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 94245264 + 5760000 = 9708^2 + 2400^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100005263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347097 + ... + 347384.

Almost surely, 2^100005264 is an apocalyptic number.

It is an amenable number.

100005264 is an abundant number, since it is smaller than the sum of its proper divisors (179870982).

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

100005264 is a wasteful number, since it uses less digits than its factorization.

100005264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694495 (or 694486 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100005264 is about 10000.2631965364. The cubic root of 100005264 is about 464.1670276596.

Adding to 100005264 its reverse (462500001), we get a palindrome (562505265).

The spelling of 100005264 in words is "one hundred million, five thousand, two hundred sixty-four".