100874880 has 192 divisors, whose sum is σ = 354201120. Its totient is φ = 26449920.

The previous prime is 100874843. The next prime is 100874887. The reversal of 100874880 is 88478001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100874887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477975 + ... + 478185.

Almost surely, 2^100874880 is an apocalyptic number.

100874880 is a gapful number since it is divisible by the number (10) 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 100874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177100560).

100874880 is an abundant number, since it is smaller than the sum of its proper divisors (253326240).

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

100874880 is a wasteful number, since it uses less digits than its factorization.

100874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 100874880 is about 10043.6487393775. The cubic root of 100874880 is about 465.5085660254.

The spelling of 100874880 in words is "one hundred million, eight hundred seventy-four thousand, eight hundred eighty".