101873664 has 72 divisors (see below), whose sum is σ = 294283080. Its totient is φ = 33951744.

The previous prime is 101873663. The next prime is 101873669. The reversal of 101873664 is 466378101.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101873663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15669 + ... + 21195.

It is an arithmetic number, because the mean of its divisors is an integer number (4087265).

Almost surely, 2^101873664 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 101873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147141540).

101873664 is an abundant number, since it is smaller than the sum of its proper divisors (192409416).

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

101873664 is an equidigital number, since it uses as much as digits as its factorization.

101873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 101873664 is about 10093.2484364549. The cubic root of 101873664 is about 467.0398900917.

The spelling of 101873664 in words is "one hundred one million, eight hundred seventy-three thousand, six hundred sixty-four".