105726680413 has 32 divisors (see below), whose sum is σ = 115283658240. Its totient is φ = 96618977280.

The previous prime is 105726680407. The next prime is 105726680453. The reversal of 105726680413 is 314086627501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105726680413 is a prime.

It is a super-2 number, since 2×105726680413² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105726680413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105726680453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52416781 + ... + 52418797.

It is an arithmetic number, because the mean of its divisors is an integer number (3602614320).

Almost surely, 2^105726680413 is an apocalyptic number.

It is an amenable number.

105726680413 is a deficient number, since it is larger than the sum of its proper divisors (9556977827).

105726680413 is a wasteful number, since it uses less digits than its factorization.

105726680413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 105726680413 in words is "one hundred five billion, seven hundred twenty-six million, six hundred eighty thousand, four hundred thirteen".