107612884037569 has 9 divisors (see below), whose sum is σ = 107722780544739. Its totient is φ = 107503099562040.

The previous prime is 107612884037567. The next prime is 107612884037591. The reversal of 107612884037569 is 965730488216701.

The square root of 107612884037569 is 10373663.

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., 106043346130225 + 1569537907344 = 10297735^2 + 1252812^2 .

It is not a de Polignac number, because 107612884037569 - 2¹ = 107612884037567 is a prime.

It is a super-2 number, since 2×107612884037569² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107612884037567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11338408914 + ... + 11338418404.

It is a 1-persistent number, because it is pandigital, but 2⋅107612884037569 = 215225768075138 is not.

Almost surely, 2^{107612884037569} is an apocalyptic number.

107612884037569 is the 10373663-rd square number.

107612884037569 is the 5186832-nd centered octagonal number.

It is an amenable number.

107612884037569 is a deficient number, since it is larger than the sum of its proper divisors (109896507170).

107612884037569 is an frugal number, since it uses more digits than its factorization.

107612884037569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21168 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 107612884037569 in words is "one hundred seven trillion, six hundred twelve billion, eight hundred eighty-four million, thirty-seven thousand, five hundred sixty-nine".