105726680411 has 8 divisors (see below), whose sum is σ = 115351560000. Its totient is φ = 96104028040.

The previous prime is 105726680407. The next prime is 105726680453. The reversal of 105726680411 is 114086627501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105726680411 - 2² = 105726680407 is a prime.

It is a super-2 number, since 2×105726680411² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105726680461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456761 + ... + 648138.

It is an arithmetic number, because the mean of its divisors is an integer number (14418945000).

Almost surely, 2^105726680411 is an apocalyptic number.

105726680411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105726680411 is a deficient number, since it is larger than the sum of its proper divisors (9624879589).

105726680411 is a wasteful number, since it uses less digits than its factorization.

105726680411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113609.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 105726680411 in words is "one hundred five billion, seven hundred twenty-six million, six hundred eighty thousand, four hundred eleven".