100941376 has 84 divisors (see below), whose sum is σ = 224709228. Its totient is φ = 44826624.

The previous prime is 100941367. The next prime is 100941413. The reversal of 100941376 is 673149001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 9241600 = 9576^2 + 3040^2 .

It is a super-2 number, since 2×100941376² = 20378322777546752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392640 + ... + 392896.

Almost surely, 2^100941376 is an apocalyptic number.

100941376 is a gapful number since it is divisible by the number (16) 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 100941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112354614).

100941376 is an abundant number, since it is smaller than the sum of its proper divisors (123767852).

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

100941376 is a wasteful number, since it uses less digits than its factorization.

100941376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 100941376 is about 10046.9585447537. The cubic root of 100941376 is about 465.6108301980.

The spelling of 100941376 in words is "one hundred million, nine hundred forty-one thousand, three hundred seventy-six".