105605555100551 has 64 divisors (see below), whose sum is σ = 128575307252736. Its totient is φ = 85554357504000.

The previous prime is 105605555100547. The next prime is 105605555100601. The reversal of 105605555100551 is 155001555506501.

It is not a de Polignac number, because 105605555100551 - 2² = 105605555100547 is a prime.

It is a super-3 number, since 3×105605555100551³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605555100151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2153301236 + ... + 2153350278.

It is an arithmetic number, because the mean of its divisors is an integer number (2008989175824).

Almost surely, 2^{105605555100551} is an apocalyptic number.

105605555100551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105605555100551 is a deficient number, since it is larger than the sum of its proper divisors (22969752152185).

105605555100551 is a wasteful number, since it uses less digits than its factorization.

105605555100551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54152.

The product of its (nonzero) digits is 468750, while the sum is 44.

The spelling of 105605555100551 in words is "one hundred five trillion, six hundred five billion, five hundred fifty-five million, one hundred thousand, five hundred fifty-one".