55005555105 has 96 divisors (see below), whose sum is σ = 99116952480. Its totient is φ = 28198748160.

The previous prime is 55005555019. The next prime is 55005555107. The reversal of 55005555105 is 50155550055.

It is a happy number.

55005555105 is a `hidden beast` number, since 5 + 50 + 0 + 55 + 551 + 0 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7887038481 + 47118516624 = 88809^2 + 217068^2 .

It is not a de Polignac number, because 55005555105 - 2¹⁶ = 55005489569 is a prime.

It is a super-2 number, since 2×55005555105² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55005555105.

It is not an unprimeable number, because it can be changed into a prime (55005555107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75041319 + ... + 75042051.

It is an arithmetic number, because the mean of its divisors is an integer number (1032468255).

Almost surely, 2^55005555105 is an apocalyptic number.

It is an amenable number.

55005555105 is a deficient number, since it is larger than the sum of its proper divisors (44111397375).

55005555105 is a wasteful number, since it uses less digits than its factorization.

55005555105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 36.

The spelling of 55005555105 in words is "fifty-five billion, five million, five hundred fifty-five thousand, one hundred five".