100366938 has 80 divisors (see below), whose sum is σ = 261057984. Its totient is φ = 28226880.

The previous prime is 100366921. The next prime is 100366951. The reversal of 100366938 is 839663001.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75318 + ... + 76638.

Almost surely, 2^100366938 is an apocalyptic number.

100366938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100366938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130528992).

100366938 is an abundant number, since it is smaller than the sum of its proper divisors (160691046).

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

100366938 is a wasteful number, since it uses less digits than its factorization.

100366938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1400 counting only the distinct ones).

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

The square root of 100366938 is about 10018.3301003710. The cubic root of 100366938 is about 464.7259154815.

The spelling of 100366938 in words is "one hundred million, three hundred sixty-six thousand, nine hundred thirty-eight".