105780967831 has 32 divisors (see below), whose sum is σ = 132571676160. Its totient is φ = 81996777600.

The previous prime is 105780967771. The next prime is 105780967837. The reversal of 105780967831 is 138769087501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105780967831 - 2⁹ = 105780967319 is a prime.

It is a super-2 number, since 2×105780967831² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105780967837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40357701 + ... + 40360321.

It is an arithmetic number, because the mean of its divisors is an integer number (4142864880).

Almost surely, 2^105780967831 is an apocalyptic number.

105780967831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105780967831 is a deficient number, since it is larger than the sum of its proper divisors (26790708329).

105780967831 is a wasteful number, since it uses less digits than its factorization.

105780967831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 105780967831 in words is "one hundred five billion, seven hundred eighty million, nine hundred sixty-seven thousand, eight hundred thirty-one".