102686164 has 72 divisors (see below), whose sum is σ = 217873152. Its totient is φ = 42194880.

The previous prime is 102686147. The next prime is 102686179. The reversal of 102686164 is 461686201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653974 + ... + 654130.

It is an arithmetic number, because the mean of its divisors is an integer number (3026016).

Almost surely, 2^102686164 is an apocalyptic number.

102686164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102686164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108936576).

102686164 is an abundant number, since it is smaller than the sum of its proper divisors (115186988).

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

102686164 is a wasteful number, since it uses less digits than its factorization.

102686164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 102686164 is about 10133.4181794694. The cubic root of 102686164 is about 468.2782393479.

The spelling of 102686164 in words is "one hundred two million, six hundred eighty-six thousand, one hundred sixty-four".