105261279934864 has 45 divisors (see below), whose sum is σ = 204207655160257. Its totient is φ = 52562618209472.

The previous prime is 105261279934831. The next prime is 105261279934883. The reversal of 105261279934864 is 468439972162501.

The square root of 105261279934864 is 10259692.

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., 103895373496464 + 1365906438400 = 10192908^2 + 1168720^2 .

It is a super-2 number, since 2×105261279934864² (a number of 29 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 105261279934864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50436644829 + ... + 50436646915.

It is a 1-persistent number, because it is pandigital, but 2⋅105261279934864 = 210522559869728 is not.

Almost surely, 2^{105261279934864} is an apocalyptic number.

105261279934864 is the 10259692-nd square number.

It is an amenable number.

105261279934864 is a deficient number, since it is larger than the sum of its proper divisors (98946375225393).

105261279934864 is an frugal number, since it uses more digits than its factorization.

105261279934864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 105261279934864 in words is "one hundred five trillion, two hundred sixty-one billion, two hundred seventy-nine million, nine hundred thirty-four thousand, eight hundred sixty-four".