100378960 has 40 divisors (see below), whose sum is σ = 254599776. Its totient is φ = 36501120.

The previous prime is 100378937. The next prime is 100378973. The reversal of 100378960 is 69873001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100378960² = 20151871221363200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56154 + ... + 57913.

Almost surely, 2^100378960 is an apocalyptic number.

100378960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100378960 is an abundant number, since it is smaller than the sum of its proper divisors (154220816).

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

100378960 is a wasteful number, since it uses less digits than its factorization.

100378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114091 (or 114085 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 100378960 is about 10018.9300825986. The cubic root of 100378960 is about 464.7444697717.

The spelling of 100378960 in words is "one hundred million, three hundred seventy-eight thousand, nine hundred sixty".