105505005551 has 16 divisors (see below), whose sum is σ = 121227325440. Its totient is φ = 90810616320.

The previous prime is 105505005509. The next prime is 105505005607. The reversal of 105505005551 is 155500505501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105505005551 is a prime.

It is a super-2 number, since 2×105505005551² (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 (105505005751) 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, 195791 + ... + 499343.

It is an arithmetic number, because the mean of its divisors is an integer number (7576707840).

Almost surely, 2^105505005551 is an apocalyptic number.

105505005551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105505005551 is a deficient number, since it is larger than the sum of its proper divisors (15722319889).

105505005551 is a wasteful number, since it uses less digits than its factorization.

105505005551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305246.

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 105505005551 in words is "one hundred five billion, five hundred five million, five thousand, five hundred fifty-one".