102164661 has 12 divisors (see below), whose sum is σ = 151171020. Its totient is φ = 66448320.

The previous prime is 102164641. The next prime is 102164677. The reversal of 102164661 is 166461201.

102164661 is a `hidden beast` number, since 10 + 2 + 1 + 646 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15563025 + 86601636 = 3945^2 + 9306^2 .

It is not a de Polignac number, because 102164661 - 2²² = 97970357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102164641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138066 + ... + 138803.

It is an arithmetic number, because the mean of its divisors is an integer number (12597585).

Almost surely, 2^102164661 is an apocalyptic number.

It is an amenable number.

102164661 is a deficient number, since it is larger than the sum of its proper divisors (49006359).

102164661 is a wasteful number, since it uses less digits than its factorization.

102164661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276916 (or 276913 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102164661 is about 10107.6535852788. The cubic root of 102164661 is about 467.4841593382.

The spelling of 102164661 in words is "one hundred two million, one hundred sixty-four thousand, six hundred sixty-one".