101688525 has 72 divisors (see below), whose sum is σ = 191892480. Its totient is φ = 51408000.

The previous prime is 101688493. The next prime is 101688527. The reversal of 101688525 is 525886101.

It is not a de Polignac number, because 101688525 - 2⁵ = 101688493 is a prime.

It is a super-2 number, since 2×101688525² = 20681112233351250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101688525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101688527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425356 + ... + 425594.

Almost surely, 2^101688525 is an apocalyptic number.

101688525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101688525 is a deficient number, since it is larger than the sum of its proper divisors (90203955).

101688525 is a wasteful number, since it uses less digits than its factorization.

101688525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 101688525 is about 10084.0728378964. The cubic root of 101688525 is about 466.7567952338.

The spelling of 101688525 in words is "one hundred one million, six hundred eighty-eight thousand, five hundred twenty-five".