55105101 has 12 divisors (see below), whose sum is σ = 79682460. Its totient is φ = 36696960.

The previous prime is 55105097. The next prime is 55105147. The reversal of 55105101 is 10150155.

55105101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6245001 + 48860100 = 2499^2 + 6990^2 .

It is not a de Polignac number, because 55105101 - 2² = 55105097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55105181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7221 + ... + 12741.

It is an arithmetic number, because the mean of its divisors is an integer number (6640205).

Almost surely, 2^55105101 is an apocalyptic number.

It is an amenable number.

55105101 is a deficient number, since it is larger than the sum of its proper divisors (24577359).

55105101 is a wasteful number, since it uses less digits than its factorization.

55105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 55105101 is about 7423.2810131370. The cubic root of 55105101 is about 380.5373307919.

Adding to 55105101 its reverse (10150155), we get a palindrome (65255256).

The spelling of 55105101 in words is "fifty-five million, one hundred five thousand, one hundred one".