100505880 has 128 divisors (see below), whose sum is σ = 346680000. Its totient is φ = 25869312.

The previous prime is 100505863. The next prime is 100505891. The reversal of 100505880 is 88505001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29716 + ... + 32924.

Almost surely, 2^100505880 is an apocalyptic number.

100505880 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 100505880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173340000).

100505880 is an abundant number, since it is smaller than the sum of its proper divisors (246174120).

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

100505880 is a wasteful number, since it uses less digits than its factorization.

100505880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 100505880 is about 10025.2620913371. The cubic root of 100505880 is about 464.9402628776.

The spelling of 100505880 in words is "one hundred million, five hundred five thousand, eight hundred eighty".