101693664 has 48 divisors (see below), whose sum is σ = 296609040. Its totient is φ = 33897600.

The previous prime is 101693629. The next prime is 101693693. The reversal of 101693664 is 466396101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 57987 + ... + 59714.

It is an arithmetic number, because the mean of its divisors is an integer number (6179355).

Almost surely, 2^101693664 is an apocalyptic number.

It is an amenable number.

101693664 is an abundant number, since it is smaller than the sum of its proper divisors (194915376).

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

101693664 is a wasteful number, since it uses less digits than its factorization.

101693664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117720 (or 117706 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 101693664 is about 10084.3276424361. The cubic root of 101693664 is about 466.7646578803.

The spelling of 101693664 in words is "one hundred one million, six hundred ninety-three thousand, six hundred sixty-four".