101387880 has 96 divisors (see below), whose sum is σ = 359480160. Its totient is φ = 24577920.

The previous prime is 101387879. The next prime is 101387959. The reversal of 101387880 is 88783101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8842 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (3744585).

Almost surely, 2^101387880 is an apocalyptic number.

101387880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101387880 is an abundant number, since it is smaller than the sum of its proper divisors (258092280).

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

101387880 is a wasteful number, since it uses less digits than its factorization.

101387880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631 (or 25624 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 101387880 is about 10069.1548801277. The cubic root of 101387880 is about 466.2963479383.

The spelling of 101387880 in words is "one hundred one million, three hundred eighty-seven thousand, eight hundred eighty".