102182988 has 96 divisors (see below), whose sum is σ = 272643840. Its totient is φ = 29583360.

The previous prime is 102182953. The next prime is 102182999. The reversal of 102182988 is 889281201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158595 + ... + 159237.

It is an arithmetic number, because the mean of its divisors is an integer number (2840040).

Almost surely, 2^102182988 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 102182988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136321920).

102182988 is an abundant number, since it is smaller than the sum of its proper divisors (170460852).

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

102182988 is a wasteful number, since it uses less digits than its factorization.

102182988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 102182988 is about 10108.5601348560. The cubic root of 102182988 is about 467.5121111755.

The spelling of 102182988 in words is "one hundred two million, one hundred eighty-two thousand, nine hundred eighty-eight".