55506105 has 72 divisors (see below), whose sum is σ = 106673112. Its totient is φ = 26597376.

The previous prime is 55506103. The next prime is 55506109. The reversal of 55506105 is 50160555.

55506105 is a `hidden beast` number, since 5 + 550 + 6 + 105 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3493161 + 52012944 = 1869^2 + 7212^2 .

It is not a de Polignac number, because 55506105 - 2¹ = 55506103 is a prime.

55506105 is a modest number, since divided by 6105 gives 5550 as remainder.

It is not an unprimeable number, because it can be changed into a prime (55506103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047259 + ... + 1047311.

It is an arithmetic number, because the mean of its divisors is an integer number (1481571).

Almost surely, 2^55506105 is an apocalyptic number.

It is an amenable number.

55506105 is a deficient number, since it is larger than the sum of its proper divisors (51167007).

55506105 is a wasteful number, since it uses less digits than its factorization.

55506105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 55506105 is about 7450.2419423801. The cubic root of 55506105 is about 381.4581670665.

It can be divided in two parts, 55506 and 105, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 55506105 in words is "fifty-five million, five hundred six thousand, one hundred five".