101393664 has 108 divisors (see below), whose sum is σ = 280894656. Its totient is φ = 32454656.

The previous prime is 101393647. The next prime is 101393693. The reversal of 101393664 is 466393101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1913062 + ... + 1913114.

Almost surely, 2^101393664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140447328).

101393664 is an abundant number, since it is smaller than the sum of its proper divisors (179500992).

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

101393664 is an frugal number, since it uses more digits than its factorization.

101393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 101393664 is about 10069.4420898082. The cubic root of 101393664 is about 466.3052148982.

The spelling of 101393664 in words is "one hundred one million, three hundred ninety-three thousand, six hundred sixty-four".