105069076991 has 16 divisors (see below), whose sum is σ = 106811136000. Its totient is φ = 103342932000.

The previous prime is 105069076979. The next prime is 105069077011. The reversal of 105069076991 is 199670960501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105069076991 - 2²² = 105064882687 is a prime.

It is a super-2 number, since 2×105069076991² (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 (105069076921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10398860 + ... + 10408958.

It is an arithmetic number, because the mean of its divisors is an integer number (6675696000).

Almost surely, 2^105069076991 is an apocalyptic number.

105069076991 is a deficient number, since it is larger than the sum of its proper divisors (1742059009).

105069076991 is a wasteful number, since it uses less digits than its factorization.

105069076991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10870.

The product of its (nonzero) digits is 918540, while the sum is 53.

The spelling of 105069076991 in words is "one hundred five billion, sixty-nine million, seventy-six thousand, nine hundred ninety-one".