105558855961 has 16 divisors (see below), whose sum is σ = 117216445248. Its totient is φ = 94427640000.

The previous prime is 105558855947. The next prime is 105558855967. The reversal of 105558855961 is 169558855501.

It is a cyclic number.

It is not a de Polignac number, because 105558855961 - 2¹⁵ = 105558823193 is a prime.

It is a super-2 number, since 2×105558855961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105558855896 and 105558855905.

It is not an unprimeable number, because it can be changed into a prime (105558855967) 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, 316435 + ... + 557896.

It is an arithmetic number, because the mean of its divisors is an integer number (7326027828).

Almost surely, 2^105558855961 is an apocalyptic number.

It is an amenable number.

105558855961 is a deficient number, since it is larger than the sum of its proper divisors (11657589287).

105558855961 is a wasteful number, since it uses less digits than its factorization.

105558855961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874632.

The product of its (nonzero) digits is 10800000, while the sum is 58.

The spelling of 105558855961 in words is "one hundred five billion, five hundred fifty-eight million, eight hundred fifty-five thousand, nine hundred sixty-one".