105520742613 has 144 divisors (see below), whose sum is σ = 192687505920. Its totient is φ = 55151712000.

The previous prime is 105520742599. The next prime is 105520742623. The reversal of 105520742613 is 316247025501.

105520742613 is a `hidden beast` number, since 1 + 0 + 5 + 520 + 74 + 2 + 61 + 3 = 666.

It is not a de Polignac number, because 105520742613 - 2⁸ = 105520742357 is a prime.

It is a super-2 number, since 2×105520742613² (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 (105520742623) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12722998 + ... + 12731288.

It is an arithmetic number, because the mean of its divisors is an integer number (1338107680).

Almost surely, 2^105520742613 is an apocalyptic number.

105520742613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105520742613 is a deficient number, since it is larger than the sum of its proper divisors (87166763307).

105520742613 is a wasteful number, since it uses less digits than its factorization.

105520742613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 105520742613 in words is "one hundred five billion, five hundred twenty million, seven hundred forty-two thousand, six hundred thirteen".