107020579600 has 135 divisors (see below), whose sum is σ = 282806329141. Its totient is φ = 38890403200.

The previous prime is 107020579507. The next prime is 107020579609. The reversal of 107020579600 is 6975020701.

The square root of 107020579600 is 327140.

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

It can be written as a sum of positive squares in only one way, i.e., 38527408656 + 68493170944 = 196284^2 + 261712^2 .

It is a super-2 number, since 2×107020579600² (a number of 23 digits) contains 22 as substring.

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 107020579600.

It is not an unprimeable number, because it can be changed into a prime (107020579609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71970057 + ... + 71971543.

Almost surely, 2^107020579600 is an apocalyptic number.

107020579600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107020579600 is the 327140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107020579600

107020579600 is an abundant number, since it is smaller than the sum of its proper divisors (175785749541).

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

107020579600 is an equidigital number, since it uses as much as digits as its factorization.

107020579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 107020579600 in words is "one hundred seven billion, twenty million, five hundred seventy-nine thousand, six hundred".