105849769899 has 24 divisors (see below), whose sum is σ = 148992244560. Its totient is φ = 66834438912.

The previous prime is 105849769889. The next prime is 105849769931. The reversal of 105849769899 is 998967948501.

It is not a de Polignac number, because 105849769899 - 2⁸ = 105849769643 is a prime.

It is a super-2 number, since 2×105849769899² (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 105849769899.

It is not an unprimeable number, because it can be changed into a prime (105849769829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4815967 + ... + 4837895.

It is an arithmetic number, because the mean of its divisors is an integer number (6208010190).

Almost surely, 2^105849769899 is an apocalyptic number.

105849769899 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105849769899 is a deficient number, since it is larger than the sum of its proper divisors (43142474661).

105849769899 is a wasteful number, since it uses less digits than its factorization.

105849769899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26427 (or 26408 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 75.

The spelling of 105849769899 in words is "one hundred five billion, eight hundred forty-nine million, seven hundred sixty-nine thousand, eight hundred ninety-nine".