102145823180 has 48 divisors (see below), whose sum is σ = 219616874400. Its totient is φ = 39907514304.

The previous prime is 102145823177. The next prime is 102145823209. The reversal of 102145823180 is 81328541201.

102145823180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102145823180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558022 + ... + 1622258.

It is an arithmetic number, because the mean of its divisors is an integer number (4575351550).

Almost surely, 2^102145823180 is an apocalyptic number.

102145823180 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 102145823180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109808437200).

102145823180 is an abundant number, since it is smaller than the sum of its proper divisors (117471051220).

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

102145823180 is an frugal number, since it uses more digits than its factorization.

102145823180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64375 (or 64287 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 102145823180 in words is "one hundred two billion, one hundred forty-five million, eight hundred twenty-three thousand, one hundred eighty".