101087520 has 48 divisors (see below), whose sum is σ = 318427200. Its totient is φ = 26956544.

The previous prime is 101087479. The next prime is 101087527. The reversal of 101087520 is 25780101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101087527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104820 + ... + 105779.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^101087520 is an apocalyptic number.

101087520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101087520 is an abundant number, since it is smaller than the sum of its proper divisors (217339680).

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

101087520 is a wasteful number, since it uses less digits than its factorization.

101087520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210617 (or 210609 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 101087520 is about 10054.2289609895. The cubic root of 101087520 is about 465.8354272823.

The spelling of 101087520 in words is "one hundred one million, eighty-seven thousand, five hundred twenty".