105992496511 has 16 divisors (see below), whose sum is σ = 117702766080. Its totient is φ = 94639043520.

The previous prime is 105992496437. The next prime is 105992496523. The reversal of 105992496511 is 115694299501.

It is a cyclic number.

It is not a de Polignac number, because 105992496511 - 2¹³ = 105992488319 is a prime.

It is a super-2 number, since 2×105992496511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105992496611) 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, 84225 + ... + 468058.

It is an arithmetic number, because the mean of its divisors is an integer number (7356422880).

Almost surely, 2^105992496511 is an apocalyptic number.

105992496511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105992496511 is a deficient number, since it is larger than the sum of its proper divisors (11710269569).

105992496511 is a wasteful number, since it uses less digits than its factorization.

105992496511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552606.

The product of its (nonzero) digits is 874800, while the sum is 52.

The spelling of 105992496511 in words is "one hundred five billion, nine hundred ninety-two million, four hundred ninety-six thousand, five hundred eleven".