102815244000 has 1536 divisors, whose sum is σ = 458006814720. Its totient is φ = 22170931200.

The previous prime is 102815243911. The next prime is 102815244019. The reversal of 102815244000 is 442518201.

102815244000 is a `hidden beast` number, since 102 + 8 + 152 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1408427964 + ... + 1408428036.

It is an arithmetic number, because the mean of its divisors is an integer number (298181520).

Almost surely, 2^102815244000 is an apocalyptic number.

102815244000 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 102815244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229003407360).

102815244000 is an abundant number, since it is smaller than the sum of its proper divisors (355191570720).

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

102815244000 is an frugal number, since it uses more digits than its factorization.

102815244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 102815244000 in words is "one hundred two billion, eight hundred fifteen million, two hundred forty-four thousand".