106792424057764 has 9 divisors (see below), whose sum is σ = 186886778270241. Its totient is φ = 53396201694840.

The previous prime is 106792424057743. The next prime is 106792424057783. The reversal of 106792424057764 is 467750424297601.

The square root of 106792424057764 is 10334042.

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., 85991162552164 + 20801261505600 = 9273142^2 + 4560840^2 .

It is a super-2 number, since 2×106792424057764² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106792424057696 and 106792424057705.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18084574 + ... + 23251594.

Almost surely, 2^{106792424057764} is an apocalyptic number.

106792424057764 is the 10334042-nd square number.

It is an amenable number.

106792424057764 is a deficient number, since it is larger than the sum of its proper divisors (80094354212477).

106792424057764 is an frugal number, since it uses more digits than its factorization.

106792424057764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334046 (or 5167023 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 64.

The spelling of 106792424057764 in words is "one hundred six trillion, seven hundred ninety-two billion, four hundred twenty-four million, fifty-seven thousand, seven hundred sixty-four".