100045264 has 20 divisors (see below), whose sum is σ = 211459680. Its totient is φ = 45475040.

The previous prime is 100045261. The next prime is 100045313. The reversal of 100045264 is 462540001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100045261) 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, 284044 + ... + 284395.

It is an arithmetic number, because the mean of its divisors is an integer number (10572984).

Almost surely, 2^100045264 is an apocalyptic number.

It is an amenable number.

100045264 is an abundant number, since it is smaller than the sum of its proper divisors (111414416).

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

100045264 is a wasteful number, since it uses less digits than its factorization.

100045264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568458 (or 568452 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 100045264 is about 10002.2629439542. The cubic root of 100045264 is about 464.2289050898.

Adding to 100045264 its reverse (462540001), we get a palindrome (562585265).

It can be divided in two parts, 1000 and 45264, that added together give a palindrome (46264).

The spelling of 100045264 in words is "one hundred million, forty-five thousand, two hundred sixty-four".