106992447409 has 27 divisors (see below), whose sum is σ = 115706632683. Its totient is φ = 98914132800.

The previous prime is 106992447377. The next prime is 106992447421. The reversal of 106992447409 is 904744299601.

The square root of 106992447409 is 327097.

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., 83298618225 + 23693829184 = 288615^2 + 153928^2 .

It is not a de Polignac number, because 106992447409 - 2⁵ = 106992447377 is a prime.

It is a super-2 number, since 2×106992447409² (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 106992447409.

It is not an unprimeable number, because it can be changed into a prime (106992447109) 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, 394805944 + ... + 394806214.

Almost surely, 2^106992447409 is an apocalyptic number.

106992447409 is the 327097-th square number.

106992447409 is the 163549-th centered octagonal number.

It is an amenable number.

106992447409 is a deficient number, since it is larger than the sum of its proper divisors (8714185274).

106992447409 is an frugal number, since it uses more digits than its factorization.

106992447409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 106992447409 in words is "one hundred six billion, nine hundred ninety-two million, four hundred forty-seven thousand, four hundred nine".