102071664 has 80 divisors (see below), whose sum is σ = 296702240. Its totient is φ = 34012224.

The previous prime is 102071617. The next prime is 102071699. The reversal of 102071664 is 466170201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33534 + ... + 36450.

It is an arithmetic number, because the mean of its divisors is an integer number (3708778).

Almost surely, 2^102071664 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 102071664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148351120).

102071664 is an abundant number, since it is smaller than the sum of its proper divisors (194630576).

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

102071664 is an frugal number, since it uses more digits than its factorization.

102071664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102071664 is about 10103.0522120793. The cubic root of 102071664 is about 467.3422713254.

The spelling of 102071664 in words is "one hundred two million, seventy-one thousand, six hundred sixty-four".