105979962747649 has 9 divisors (see below), whose sum is σ = 106261348636033. Its totient is φ = 105699320103172.

The previous prime is 105979962747623. The next prime is 105979962747679. The reversal of 105979962747649 is 946747269979501.

The square root of 105979962747649 is 10294657.

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

It is not a de Polignac number, because 105979962747649 - 2²⁵ = 105979929193217 is a prime.

It is a super-2 number, since 2×105979962747649² (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 (105979962747679) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3942840192 + ... + 3942867070.

Almost surely, 2^{105979962747649} is an apocalyptic number.

105979962747649 is the 10294657-th square number.

105979962747649 is the 5147329-th centered octagonal number.

It is an amenable number.

105979962747649 is a deficient number, since it is larger than the sum of its proper divisors (281385888384).

105979962747649 is an frugal number, since it uses more digits than its factorization.

105979962747649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54524 (or 27262 counting only the distinct ones).

The product of its (nonzero) digits is 12962436480, while the sum is 85.

The spelling of 105979962747649 in words is "one hundred five trillion, nine hundred seventy-nine billion, nine hundred sixty-two million, seven hundred forty-seven thousand, six hundred forty-nine".