100978938 has 24 divisors (see below), whose sum is σ = 219735828. Its totient is φ = 33513792.

The previous prime is 100978937. The next prime is 100978961. The reversal of 100978938 is 839879001.

It can be written as a sum of positive squares in 2 ways, for example, as 99740169 + 1238769 = 9987^2 + 1113^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100978893 and 100978902.

It is not an unprimeable number, because it can be changed into a prime (100978931) 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, 7845 + ... + 16232.

Almost surely, 2^100978938 is an apocalyptic number.

100978938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100978938 is an abundant number, since it is smaller than the sum of its proper divisors (118756890).

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

100978938 is a wasteful number, since it uses less digits than its factorization.

100978938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24318 (or 24315 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 100978938 is about 10048.8276928207. The cubic root of 100978938 is about 465.6685769345.

The spelling of 100978938 in words is "one hundred million, nine hundred seventy-eight thousand, nine hundred thirty-eight".