55106000 has 80 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 21622400.

The previous prime is 55105979. The next prime is 55106033. The reversal of 55106000 is 60155.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 55106000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117767 + ... + 118233.

It is an arithmetic number, because the mean of its divisors is an integer number (1697436).

Almost surely, 2^55106000 is an apocalyptic number.

55106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

55106000 is an abundant number, since it is smaller than the sum of its proper divisors (80688880).

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

55106000 is a wasteful number, since it uses less digits than its factorization.

55106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 55106000 is about 7423.3415656293. The cubic root of 55106000 is about 380.5394001781.

Adding to 55106000 its reverse (60155), we get a palindrome (55166155).

The spelling of 55106000 in words is "fifty-five million, one hundred six thousand".