105551776513 has 16 divisors (see below), whose sum is σ = 109703773440. Its totient is φ = 101494014336.

The previous prime is 105551776501. The next prime is 105551776537. The reversal of 105551776513 is 315677155501.

It is a cyclic number.

It is not a de Polignac number, because 105551776513 - 2⁵ = 105551776481 is a prime.

It is a super-2 number, since 2×105551776513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105551776543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576370 + ... + 737092.

It is an arithmetic number, because the mean of its divisors is an integer number (6856485840).

Almost surely, 2^105551776513 is an apocalyptic number.

It is an amenable number.

105551776513 is a deficient number, since it is larger than the sum of its proper divisors (4151996927).

105551776513 is a wasteful number, since it uses less digits than its factorization.

105551776513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161016.

The product of its (nonzero) digits is 551250, while the sum is 46.

The spelling of 105551776513 in words is "one hundred five billion, five hundred fifty-one million, seven hundred seventy-six thousand, five hundred thirteen".