101664525 has 48 divisors (see below), whose sum is σ = 173703168. Its totient is φ = 52440000.

The previous prime is 101664509. The next prime is 101664533. The reversal of 101664525 is 525466101.

It is not a de Polignac number, because 101664525 - 2⁴ = 101664509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101664492 and 101664501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532180 + ... + 532370.

It is an arithmetic number, because the mean of its divisors is an integer number (3618816).

Almost surely, 2^101664525 is an apocalyptic number.

101664525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101664525 is a deficient number, since it is larger than the sum of its proper divisors (72038643).

101664525 is a wasteful number, since it uses less digits than its factorization.

101664525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 101664525 is about 10082.8827723028. The cubic root of 101664525 is about 466.7200718359.

The spelling of 101664525 in words is "one hundred one million, six hundred sixty-four thousand, five hundred twenty-five".