55155100 has 288 divisors, whose sum is σ = 174988800. Its totient is φ = 14515200.

The previous prime is 55155053. The next prime is 55155101. The reversal of 55155100 is 155155.

55155100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55155101) 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 95 ways as a sum of consecutive naturals, for example, 1901886 + ... + 1901914.

It is an arithmetic number, because the mean of its divisors is an integer number (607600).

Almost surely, 2^55155100 is an apocalyptic number.

55155100 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 55155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

55155100 is an abundant number, since it is smaller than the sum of its proper divisors (119833700).

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

55155100 is a wasteful number, since it uses less digits than its factorization.

55155100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

The square root of 55155100 is about 7426.6479652667. The cubic root of 55155100 is about 380.6523881040.

Subtracting from 55155100 its reverse (155155), we obtain a palindrome (54999945).

It can be divided in two parts, 55155 and 100, that added together give a palindrome (55255).

The spelling of 55155100 in words is "fifty-five million, one hundred fifty-five thousand, one hundred".