105556005511 has 16 divisors (see below), whose sum is σ = 119147254560. Its totient is φ = 92631992320.

The previous prime is 105556005493. The next prime is 105556005557. The reversal of 105556005511 is 115500655501.

It is a cyclic number.

It is not a de Polignac number, because 105556005511 - 2⁹ = 105556004999 is a prime.

It is a super-2 number, since 2×105556005511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105556005211) 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, 1650711 + ... + 1713463.

It is an arithmetic number, because the mean of its divisors is an integer number (7446703410).

Almost surely, 2^105556005511 is an apocalyptic number.

105556005511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105556005511 is a deficient number, since it is larger than the sum of its proper divisors (13591249049).

105556005511 is a wasteful number, since it uses less digits than its factorization.

105556005511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68066.

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 105556005511 in words is "one hundred five billion, five hundred fifty-six million, five thousand, five hundred eleven".