105456778809 has 16 divisors (see below), whose sum is σ = 140862181824. Its totient is φ = 70178011200.

The previous prime is 105456778787. The next prime is 105456778811. The reversal of 105456778809 is 908877654501.

It is not a de Polignac number, because 105456778809 - 2⁷ = 105456778681 is a prime.

It is a super-2 number, since 2×105456778809² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105456778859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10665582 + ... + 10675464.

It is an arithmetic number, because the mean of its divisors is an integer number (8803886364).

Almost surely, 2^105456778809 is an apocalyptic number.

It is an amenable number.

105456778809 is a deficient number, since it is larger than the sum of its proper divisors (35405403015).

105456778809 is an equidigital number, since it uses as much as digits as its factorization.

105456778809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928.

The product of its (nonzero) digits is 16934400, while the sum is 60.

The spelling of 105456778809 in words is "one hundred five billion, four hundred fifty-six million, seven hundred seventy-eight thousand, eight hundred nine".