100939640 has 32 divisors (see below), whose sum is σ = 236990880. Its totient is φ = 38620032.

The previous prime is 100939639. The next prime is 100939649. The reversal of 100939640 is 46939001.

It is a junction number, because it is equal to n+sod(n) for n = 100939597 and 100939606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100939649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53939 + ... + 55778.

It is an arithmetic number, because the mean of its divisors is an integer number (7405965).

Almost surely, 2^100939640 is an apocalyptic number.

100939640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100939640 is an abundant number, since it is smaller than the sum of its proper divisors (136051240).

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

100939640 is a wasteful number, since it uses less digits than its factorization.

100939640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109751 (or 109747 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 100939640 is about 10046.8721500774. The cubic root of 100939640 is about 465.6081609753.

The spelling of 100939640 in words is "one hundred million, nine hundred thirty-nine thousand, six hundred forty".