102089664 has 42 divisors (see below), whose sum is σ = 292623240. Its totient is φ = 34029696.

The previous prime is 102089653. The next prime is 102089681. The reversal of 102089664 is 466980201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88044 + ... + 89195.

It is an arithmetic number, because the mean of its divisors is an integer number (6967220).

Almost surely, 2^102089664 is an apocalyptic number.

It is an amenable number.

102089664 is an abundant number, since it is smaller than the sum of its proper divisors (190533576).

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

102089664 is a wasteful number, since it uses less digits than its factorization.

102089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177257 (or 177244 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 102089664 is about 10103.9429927133. The cubic root of 102089664 is about 467.3697411314.

The spelling of 102089664 in words is "one hundred two million, eighty-nine thousand, six hundred sixty-four".