105761763133 has 16 divisors (see below), whose sum is σ = 114287775616. Its totient is φ = 97291782720.

The previous prime is 105761763103. The next prime is 105761763169. The reversal of 105761763133 is 331367167501.

It is a cyclic number.

It is not a de Polignac number, because 105761763133 - 2⁵ = 105761763101 is a prime.

It is a super-2 number, since 2×105761763133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105761763133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105761763103) 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, 19029391 + ... + 19034947.

It is an arithmetic number, because the mean of its divisors is an integer number (7142985976).

Almost surely, 2^105761763133 is an apocalyptic number.

105761763133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105761763133 is a deficient number, since it is larger than the sum of its proper divisors (8526012483).

105761763133 is a wasteful number, since it uses less digits than its factorization.

105761763133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324.

The product of its (nonzero) digits is 238140, while the sum is 43.

The spelling of 105761763133 in words is "one hundred five billion, seven hundred sixty-one million, seven hundred sixty-three thousand, one hundred thirty-three".