100936368 has 120 divisors (see below), whose sum is σ = 315636048. Its totient is φ = 31041792.

The previous prime is 100936349. The next prime is 100936373. The reversal of 100936368 is 863639001.

It is a happy number.

100936368 is a `hidden beast` number, since 10 + 0 + 9 + 3 + 636 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 49546 + ... + 51542.

Almost surely, 2^100936368 is an apocalyptic number.

100936368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100936368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157818024).

100936368 is an abundant number, since it is smaller than the sum of its proper divisors (214699680).

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

100936368 is a wasteful number, since it uses less digits than its factorization.

100936368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 100936368 is about 10046.7093120086. The cubic root of 100936368 is about 465.6031299609.

It can be divided in two parts, 10093 and 6368, that added together give a palindrome (16461).

The spelling of 100936368 in words is "one hundred million, nine hundred thirty-six thousand, three hundred sixty-eight".