55105920 has 160 divisors (see below), whose sum is σ = 196978320. Its totient is φ = 14681088.

The previous prime is 55105847. The next prime is 55105937. The reversal of 55105920 is 2950155.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51309 + ... + 52371.

Almost surely, 2^55105920 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 55105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98489160).

55105920 is an abundant number, since it is smaller than the sum of its proper divisors (141872400).

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

55105920 is a wasteful number, since it uses less digits than its factorization.

55105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 55105920 is about 7423.3361772184. The cubic root of 55105920 is about 380.5392160290.

The spelling of 55105920 in words is "fifty-five million, one hundred five thousand, nine hundred twenty".