101711664 has 60 divisors (see below), whose sum is σ = 290043936. Its totient is φ = 33261696.

The previous prime is 101711627. The next prime is 101711699. The reversal of 101711664 is 466117101.

It is a zygodrome in base 2.

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, 969 + ... + 14295.

Almost surely, 2^101711664 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 101711664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145021968).

101711664 is an abundant number, since it is smaller than the sum of its proper divisors (188332272).

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

101711664 is a wasteful number, since it uses less digits than its factorization.

101711664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13394 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101711664 is about 10085.2200769244. The cubic root of 101711664 is about 466.7921957093.

Adding to 101711664 its reverse (466117101), we get a palindrome (567828765).

The spelling of 101711664 in words is "one hundred one million, seven hundred eleven thousand, six hundred sixty-four".