102181674 has 64 divisors (see below), whose sum is σ = 247357440. Its totient is φ = 27518400.

The previous prime is 102181661. The next prime is 102181691. The reversal of 102181674 is 476181201.

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 31 ways as a sum of consecutive naturals, for example, 51399 + ... + 53349.

It is an arithmetic number, because the mean of its divisors is an integer number (3864960).

Almost surely, 2^102181674 is an apocalyptic number.

102181674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102181674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123678720).

102181674 is an abundant number, since it is smaller than the sum of its proper divisors (145175766).

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

102181674 is a wasteful number, since it uses less digits than its factorization.

102181674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 102181674 is about 10108.4951402274. The cubic root of 102181674 is about 467.5101072100.

The spelling of 102181674 in words is "one hundred two million, one hundred eighty-one thousand, six hundred seventy-four".