107813957222500 has 135 divisors (see below), whose sum is σ = 246491310532621. Its totient is φ = 41245988872000.

The previous prime is 107813957222497. The next prime is 107813957222507. The reversal of 107813957222500 is 5222759318701.

The square root of 107813957222500 is 10383350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 11050850815524 + 96763106406976 = 3324282^2 + 9836824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107813957222507) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 11940847986 + ... + 11940857014.

Almost surely, 2^{107813957222500} is an apocalyptic number.

107813957222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107813957222500 is the 10383350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107813957222500

107813957222500 is an abundant number, since it is smaller than the sum of its proper divisors (138677353310121).

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

107813957222500 is an frugal number, since it uses more digits than its factorization.

107813957222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18128 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 107813957222500 in words is "one hundred seven trillion, eight hundred thirteen billion, nine hundred fifty-seven million, two hundred twenty-two thousand, five hundred".