100013364 has 36 divisors (see below), whose sum is σ = 275795520. Its totient is φ = 30306960.

The previous prime is 100013357. The next prime is 100013371. The reversal of 100013364 is 463310001.

It is an interprime number because it is at equal distance from previous prime (100013357) and next prime (100013371).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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, 125884 + ... + 126675.

Almost surely, 2^100013364 is an apocalyptic number.

It is an amenable number.

100013364 is an abundant number, since it is smaller than the sum of its proper divisors (175782156).

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

100013364 is a wasteful number, since it uses less digits than its factorization.

100013364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252580 (or 252575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 100013364 is about 10000.6681776769. The cubic root of 100013364 is about 464.1795591713.

Adding to 100013364 its reverse (463310001), we get a palindrome (563323365).

The spelling of 100013364 in words is "one hundred million, thirteen thousand, three hundred sixty-four".