102314557800 has 1728 divisors, whose sum is σ = 474093874800. Its totient is φ = 19508428800.

The previous prime is 102314557769. The next prime is 102314557801. The reversal of 102314557800 is 8755413201.

102314557800 is a `hidden beast` number, since 1 + 0 + 23 + 1 + 4 + 557 + 80 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 25031669796 + 77282888004 = 158214^2 + 277998^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102314557801) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 565273710 + ... + 565273890.

Almost surely, 2^102314557800 is an apocalyptic number.

102314557800 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 102314557800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237046937400).

102314557800 is an abundant number, since it is smaller than the sum of its proper divisors (371779317000).

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

102314557800 is a wasteful number, since it uses less digits than its factorization.

102314557800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 102314557800 in words is "one hundred two billion, three hundred fourteen million, five hundred fifty-seven thousand, eight hundred".