55166100 has 144 divisors (see below), whose sum is σ = 177280320. Its totient is φ = 13132800.

The previous prime is 55166087. The next prime is 55166141. The reversal of 55166100 is 166155.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240786 + ... + 241014.

Almost surely, 2^55166100 is an apocalyptic number.

55166100 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 55166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88640160).

55166100 is an abundant number, since it is smaller than the sum of its proper divisors (122114220).

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

55166100 is a wasteful number, since it uses less digits than its factorization.

55166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55166100 is about 7427.3885047168. The cubic root of 55166100 is about 380.6776918864.

Subtracting from 55166100 its reverse (166155), we obtain a palindrome (54999945).

The spelling of 55166100 in words is "fifty-five million, one hundred sixty-six thousand, one hundred".