107022790613124 has 81 divisors (see below), whose sum is σ = 273617770019503. Its totient is φ = 35271608363904.

The previous prime is 107022790613107. The next prime is 107022790613149. The reversal of 107022790613124 is 421316097220701.

The square root of 107022790613124 is 10345182.

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

107022790613124 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 2 + 7 + 9 + 0 + 613 + 1 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29318001452100 + 77704789161024 = 5414610^2 + 8815032^2 .

It is a super-2 number, since 2×107022790613124² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107022790613124.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5524317502 + ... + 5524336874.

Almost surely, 2^{107022790613124} is an apocalyptic number.

107022790613124 is the 10345182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107022790613124

107022790613124 is an abundant number, since it is smaller than the sum of its proper divisors (166594979406379).

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

107022790613124 is an frugal number, since it uses more digits than its factorization.

107022790613124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38934 (or 19467 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 107022790613124 in words is "one hundred seven trillion, twenty-two billion, seven hundred ninety million, six hundred thirteen thousand, one hundred twenty-four".