101587872 has 96 divisors (see below), whose sum is σ = 281111040. Its totient is φ = 32060160.

The previous prime is 101587867. The next prime is 101587883. The reversal of 101587872 is 278785101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 101587872.

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 15 ways as a sum of consecutive naturals, for example, 306747 + ... + 307077.

It is an arithmetic number, because the mean of its divisors is an integer number (2928240).

Almost surely, 2^101587872 is an apocalyptic number.

101587872 is a gapful number since it is divisible by the number (12) 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 101587872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140555520).

101587872 is an abundant number, since it is smaller than the sum of its proper divisors (179523168).

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

101587872 is a wasteful number, since it uses less digits than its factorization.

101587872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 101587872 is about 10079.0809104799. The cubic root of 101587872 is about 466.6027431717.

The spelling of 101587872 in words is "one hundred one million, five hundred eighty-seven thousand, eight hundred seventy-two".