105279648579 has 12 divisors (see below), whose sum is σ = 173794975536. Its totient is φ = 60159799152.

The previous prime is 105279648571. The next prime is 105279648589. The reversal of 105279648579 is 975846972501.

105279648579 is a `hidden beast` number, since 1 + 0 + 52 + 7 + 9 + 6 + 4 + 8 + 579 = 666.

It is not a de Polignac number, because 105279648579 - 2³ = 105279648571 is a prime.

It is a super-2 number, since 2×105279648579² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 1671105533 = 105279648579 / (1 + 0 + 5 + 2 + 7 + 9 + 6 + 4 + 8 + 5 + 7 + 9).

It is not an unprimeable number, because it can be changed into a prime (105279648571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835552704 + ... + 835552829.

It is an arithmetic number, because the mean of its divisors is an integer number (14482914628).

Almost surely, 2^105279648579 is an apocalyptic number.

105279648579 is a deficient number, since it is larger than the sum of its proper divisors (68515326957).

105279648579 is a wasteful number, since it uses less digits than its factorization.

105279648579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671105546 (or 1671105543 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 105279648579 in words is "one hundred five billion, two hundred seventy-nine million, six hundred forty-eight thousand, five hundred seventy-nine".