101369664 has 112 divisors (see below), whose sum is σ = 325160640. Its totient is φ = 30712320.

The previous prime is 101369651. The next prime is 101369687. The reversal of 101369664 is 466963101.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16342 + ... + 21674.

It is an arithmetic number, because the mean of its divisors is an integer number (2903220).

Almost surely, 2^101369664 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 101369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162580320).

101369664 is an abundant number, since it is smaller than the sum of its proper divisors (223790976).

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

101369664 is a wasteful number, since it uses less digits than its factorization.

101369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5349 counting only the distinct ones).

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

The square root of 101369664 is about 10068.2502948626. The cubic root of 101369664 is about 466.2684203299.

The spelling of 101369664 in words is "one hundred one million, three hundred sixty-nine thousand, six hundred sixty-four".