100939968 has 84 divisors (see below), whose sum is σ = 298712128. Its totient is φ = 32555520.

The previous prime is 100939967. The next prime is 100940009. The reversal of 100939968 is 869939001.

It is not an unprimeable number, because it can be changed into a prime (100939967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15030 + ... + 20682.

Almost surely, 2^100939968 is an apocalyptic number.

100939968 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 100939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149356064).

100939968 is an abundant number, since it is smaller than the sum of its proper divisors (197772160).

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

100939968 is a wasteful number, since it uses less digits than its factorization.

100939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 100939968 is about 10046.8884735524. Note that the first 3 decimals coincide. The cubic root of 100939968 is about 465.6086653009.

The spelling of 100939968 in words is "one hundred million, nine hundred thirty-nine thousand, nine hundred sixty-eight".