102161808 has 120 divisors (see below), whose sum is σ = 334496448. Its totient is φ = 28498176.

The previous prime is 102161797. The next prime is 102161819. The reversal of 102161808 is 808161201.

It is an interprime number because it is at equal distance from previous prime (102161797) and next prime (102161819).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42166 + ... + 44522.

Almost surely, 2^102161808 is an apocalyptic number.

102161808 is a gapful number since it is divisible by the number (18) 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 102161808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167248224).

102161808 is an abundant number, since it is smaller than the sum of its proper divisors (232334640).

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

102161808 is a wasteful number, since it uses less digits than its factorization.

102161808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 102161808 is about 10107.5124536159. The cubic root of 102161808 is about 467.4798077202.

The spelling of 102161808 in words is "one hundred two million, one hundred sixty-one thousand, eight hundred eight".