102182640 has 120 divisors (see below), whose sum is σ = 368525520. Its totient is φ = 23353344.

The previous prime is 102182599. The next prime is 102182657. The reversal of 102182640 is 46281201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102182640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7416 + ... + 16104.

It is an arithmetic number, because the mean of its divisors is an integer number (3071046).

Almost surely, 2^102182640 is an apocalyptic number.

102182640 is a gapful number since it is divisible by the number (10) 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 102182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184262760).

102182640 is an abundant number, since it is smaller than the sum of its proper divisors (266342880).

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

102182640 is a wasteful number, since it uses less digits than its factorization.

102182640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 102182640 is about 10108.5429217074. The cubic root of 102182640 is about 467.5115804465.

The spelling of 102182640 in words is "one hundred two million, one hundred eighty-two thousand, six hundred forty".