102091008 has 72 divisors (see below), whose sum is σ = 273225568. Its totient is φ = 33841152.

The previous prime is 102091007. The next prime is 102091021. The reversal of 102091008 is 800190201.

It is not an unprimeable number, because it can be changed into a prime (102091007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235560 + ... + 235992.

Almost surely, 2^102091008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136612784).

102091008 is an abundant number, since it is smaller than the sum of its proper divisors (171134560).

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

102091008 is an equidigital number, since it uses as much as digits as its factorization.

102091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 102091008 is about 10104.0095011832. The cubic root of 102091008 is about 467.3717920807.

The spelling of 102091008 in words is "one hundred two million, ninety-one thousand, eight".