100364364 has 72 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 31307232.

The previous prime is 100364359. The next prime is 100364377. The reversal of 100364364 is 463463001.

100364364 is a `hidden beast` number, since 10 + 0 + 3 + 643 + 6 + 4 = 666.

It is a super-2 number, since 2×100364364² = 20146011122248992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37627 + ... + 40205.

It is an arithmetic number, because the mean of its divisors is an integer number (3756480).

Almost surely, 2^100364364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100364364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

100364364 is an abundant number, since it is smaller than the sum of its proper divisors (170102196).

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

100364364 is a wasteful number, since it uses less digits than its factorization.

100364364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 100364364 is about 10018.2016350241. The cubic root of 100364364 is about 464.7219426768.

It can be divided in two parts, 10036 and 4364, that added together give a square (14400 = 120²).

The spelling of 100364364 in words is "one hundred million, three hundred sixty-four thousand, three hundred sixty-four".