101521664 has 36 divisors (see below), whose sum is σ = 203655984. Its totient is φ = 50508288.

The previous prime is 101521649. The next prime is 101521669. The reversal of 101521664 is 466125101.

It is a super-2 number, since 2×101521664² = 20613296522657792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101521669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57239 + ... + 58985.

Almost surely, 2^101521664 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 101521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101827992).

101521664 is an abundant number, since it is smaller than the sum of its proper divisors (102134320).

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

101521664 is an equidigital number, since it uses as much as digits as its factorization.

101521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101521664 is about 10075.7959487080. The cubic root of 101521664 is about 466.5013545987.

Adding to 101521664 its reverse (466125101), we get a palindrome (567646765).

The spelling of 101521664 in words is "one hundred one million, five hundred twenty-one thousand, six hundred sixty-four".