81250107300 has 108 divisors (see below), whose sum is σ = 255005592660. Its totient is φ = 21638480640.

The previous prime is 81250107287. The next prime is 81250107319. The reversal of 81250107300 is 370105218.

81250107300 is a `hidden beast` number, since 8 + 1 + 250 + 107 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 38935971684 + 42314135616 = 197322^2 + 205704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 637306 + ... + 754094.

It is an arithmetic number, because the mean of its divisors is an integer number (2361162895).

Almost surely, 2^81250107300 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 81250107300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127502796330).

81250107300 is an abundant number, since it is smaller than the sum of its proper divisors (173755485360).

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

81250107300 is a wasteful number, since it uses less digits than its factorization.

81250107300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117582 (or 117572 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 81250107300 in words is "eighty-one billion, two hundred fifty million, one hundred seven thousand, three hundred".