100306368 has 42 divisors (see below), whose sum is σ = 287511744. Its totient is φ = 33435264.

The previous prime is 100306363. The next prime is 100306391. The reversal of 100306368 is 863603001.

It is a super-2 number, since 2×100306368² = 20122734922702848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100306361) 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, 86496 + ... + 87647.

Almost surely, 2^100306368 is an apocalyptic number.

100306368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100306368 is an abundant number, since it is smaller than the sum of its proper divisors (187205376).

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

100306368 is a wasteful number, since it uses less digits than its factorization.

100306368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174161 (or 174148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 100306368 is about 10015.3066852693. The cubic root of 100306368 is about 464.6324115397.

Adding to 100306368 its reverse (863603001), we get a palindrome (963909369).

The spelling of 100306368 in words is "one hundred million, three hundred six thousand, three hundred sixty-eight".