101664360 has 96 divisors (see below), whose sum is σ = 377619840. Its totient is φ = 23236992.

The previous prime is 101664349. The next prime is 101664361. The reversal of 101664360 is 63466101.

101664360 is a `hidden beast` number, since 1 + 0 + 16 + 643 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (101664361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17652 + ... + 22691.

It is an arithmetic number, because the mean of its divisors is an integer number (3933540).

Almost surely, 2^101664360 is an apocalyptic number.

101664360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101664360 is an abundant number, since it is smaller than the sum of its proper divisors (275955480).

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

101664360 is a wasteful number, since it uses less digits than its factorization.

101664360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40367 (or 40360 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 101664360 is about 10082.8745901157. The cubic root of 101664360 is about 466.7198193426.

The spelling of 101664360 in words is "one hundred one million, six hundred sixty-four thousand, three hundred sixty".