55105128 has 96 divisors (see below), whose sum is σ = 162456840. Its totient is φ = 16773120.

The previous prime is 55105097. The next prime is 55105147. The reversal of 55105128 is 82150155.

It can be written as a sum of positive squares in 4 ways, for example, as 14884164 + 40220964 = 3858^2 + 6342^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105508 + ... + 106028.

Almost surely, 2^55105128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55105128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81228420).

55105128 is an abundant number, since it is smaller than the sum of its proper divisors (107351712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55105128 is a wasteful number, since it uses less digits than its factorization.

55105128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 55105128 is about 7423.2828317396. The cubic root of 55105128 is about 380.5373929429.

The spelling of 55105128 in words is "fifty-five million, one hundred five thousand, one hundred twenty-eight".