100168936 has 48 divisors (see below), whose sum is σ = 225555840. Its totient is φ = 41539680.

The previous prime is 100168909. The next prime is 100168949. The reversal of 100168936 is 639861001.

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, 8031 + ... + 16273.

It is an arithmetic number, because the mean of its divisors is an integer number (4699080).

Almost surely, 2^100168936 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 100168936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112777920).

100168936 is an abundant number, since it is smaller than the sum of its proper divisors (125386904).

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

100168936 is a wasteful number, since it uses less digits than its factorization.

100168936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 100168936 is about 10008.4432355886. The cubic root of 100168936 is about 464.4201134630.

The spelling of 100168936 in words is "one hundred million, one hundred sixty-eight thousand, nine hundred thirty-six".