105713458845 has 96 divisors (see below), whose sum is σ = 183404390400. Its totient is φ = 51850344960.

The previous prime is 105713458813. The next prime is 105713458861. The reversal of 105713458845 is 548854317501.

It is not a de Polignac number, because 105713458845 - 2⁵ = 105713458813 is a prime.

It is a super-2 number, since 2×105713458845² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 125998936 + ... + 125999774.

It is an arithmetic number, because the mean of its divisors is an integer number (1910462400).

Almost surely, 2^105713458845 is an apocalyptic number.

105713458845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105713458845 is a deficient number, since it is larger than the sum of its proper divisors (77690931555).

105713458845 is a wasteful number, since it uses less digits than its factorization.

105713458845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 105713458845 in words is "one hundred five billion, seven hundred thirteen million, four hundred fifty-eight thousand, eight hundred forty-five".