102664566 has 48 divisors (see below), whose sum is σ = 230302800. Its totient is φ = 33027264.

The previous prime is 102664559. The next prime is 102664567. The reversal of 102664566 is 665466201.

It is a happy number.

102664566 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 645 + 6 + 6 = 666.

It is a super-2 number, since 2×102664566² = 21080026223936712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102664566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102664567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92020 + ... + 93128.

It is an arithmetic number, because the mean of its divisors is an integer number (4797975).

Almost surely, 2^102664566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102664566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115151400).

102664566 is an abundant number, since it is smaller than the sum of its proper divisors (127638234).

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

102664566 is a wasteful number, since it uses less digits than its factorization.

102664566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 102664566 is about 10132.3524415606. The cubic root of 102664566 is about 468.2454060294.

The spelling of 102664566 in words is "one hundred two million, six hundred sixty-four thousand, five hundred sixty-six".