101687625 has 96 divisors (see below), whose sum is σ = 209532960. Its totient is φ = 47001600.

The previous prime is 101687617. The next prime is 101687681. The reversal of 101687625 is 526786101.

101687625 is a `hidden beast` number, since 10 + 16 + 8 + 7 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 52533504 + 49154121 = 7248^2 + 7011^2 .

It is not a de Polignac number, because 101687625 - 2³ = 101687617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101687625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248421 + ... + 248829.

It is an arithmetic number, because the mean of its divisors is an integer number (2182635).

Almost surely, 2^101687625 is an apocalyptic number.

101687625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101687625 is an abundant number, since it is smaller than the sum of its proper divisors (107845335).

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

101687625 is a wasteful number, since it uses less digits than its factorization.

101687625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 101687625 is about 10084.0282129712. The cubic root of 101687625 is about 466.7554182107.

The spelling of 101687625 in words is "one hundred one million, six hundred eighty-seven thousand, six hundred twenty-five".