105555555513 has 16 divisors (see below), whose sum is σ = 156423054400. Its totient is φ = 70350366240.

The previous prime is 105555555493. The next prime is 105555555577. The reversal of 105555555513 is 315555555501.

It is not a de Polignac number, because 105555555513 - 2¹⁷ = 105555424441 is a prime.

It is a super-2 number, since 2×105555555513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105555555913) 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, 458623 + ... + 649188.

It is an arithmetic number, because the mean of its divisors is an integer number (9776440900).

Almost surely, 2^105555555513 is an apocalyptic number.

It is an amenable number.

105555555513 is a deficient number, since it is larger than the sum of its proper divisors (50867498887).

105555555513 is a wasteful number, since it uses less digits than its factorization.

105555555513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111349 (or 1111343 counting only the distinct ones).

The product of its (nonzero) digits is 1171875, while the sum is 45.

The spelling of 105555555513 in words is "one hundred five billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred thirteen".