105611110600557 has 32 divisors (see below), whose sum is σ = 149351584838400. Its totient is φ = 66153186597888.

The previous prime is 105611110600553. The next prime is 105611110600577. The reversal of 105611110600557 is 755006011116501.

It is not a de Polignac number, because 105611110600557 - 2² = 105611110600553 is a prime.

It is a super-2 number, since 2×105611110600557² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611110600553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85168528 + ... + 86399654.

It is an arithmetic number, because the mean of its divisors is an integer number (4667237026200).

Almost surely, 2^{105611110600557} is an apocalyptic number.

105611110600557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105611110600557 is a deficient number, since it is larger than the sum of its proper divisors (43740474237843).

105611110600557 is a wasteful number, since it uses less digits than its factorization.

105611110600557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234005.

The product of its (nonzero) digits is 31500, while the sum is 39.

The spelling of 105611110600557 in words is "one hundred five trillion, six hundred eleven billion, one hundred ten million, six hundred thousand, five hundred fifty-seven".