102166361 has 16 divisors (see below), whose sum is σ = 115207488. Its totient is φ = 89784000.

The previous prime is 102166349. The next prime is 102166381. The reversal of 102166361 is 163661201.

It is a cyclic number.

It is not a de Polignac number, because 102166361 - 2¹⁸ = 101904217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102166361.

It is not an unprimeable number, because it can be changed into a prime (102166321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69686 + ... + 71136.

It is an arithmetic number, because the mean of its divisors is an integer number (7200468).

Almost surely, 2^102166361 is an apocalyptic number.

102166361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102166361 is a deficient number, since it is larger than the sum of its proper divisors (13041127).

102166361 is a wasteful number, since it uses less digits than its factorization.

102166361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 102166361 is about 10107.7376796195. The cubic root of 102166361 is about 467.4867522722.

The spelling of 102166361 in words is "one hundred two million, one hundred sixty-six thousand, three hundred sixty-one".