105665953969 has 3 divisors (see below), whose sum is σ = 105666279033. Its totient is φ = 105665628906.

The previous prime is 105665953961. The next prime is 105665954033. The reversal of 105665953969 is 969359566501.

The square root of 105665953969 is 325063.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 969359566501 = 5483 ⋅176793647.

It is not a de Polignac number, because 105665953969 - 2³ = 105665953961 is a prime.

It is a super-2 number, since 2×105665953969² (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 105665953969.

It is not an unprimeable number, because it can be changed into a prime (105665953961) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162532 + ... + 487594.

It is an arithmetic number, because the mean of its divisors is an integer number (35222093011).

Almost surely, 2^105665953969 is an apocalyptic number.

105665953969 is the 325063-rd square number.

105665953969 is the 162532-nd centered octagonal number.

It is an amenable number.

105665953969 is a deficient number, since it is larger than the sum of its proper divisors (325064).

105665953969 is an frugal number, since it uses more digits than its factorization.

105665953969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650126 (or 325063 counting only the distinct ones).

The product of its (nonzero) digits is 59049000, while the sum is 64.

Multiplying 105665953969 by its sum of digits (64), we get a square (6762621054016 = 2600504²).

The spelling of 105665953969 in words is "one hundred five billion, six hundred sixty-five million, nine hundred fifty-three thousand, nine hundred sixty-nine".