55105050100 has 144 divisors (see below), whose sum is σ = 124635772800. Its totient is φ = 21135237120.

The previous prime is 55105050079. The next prime is 55105050101. The reversal of 55105050100 is 105050155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55105050101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41777241 + ... + 41778559.

It is an arithmetic number, because the mean of its divisors is an integer number (865526200).

Almost surely, 2^55105050100 is an apocalyptic number.

55105050100 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 55105050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62317886400).

55105050100 is an abundant number, since it is smaller than the sum of its proper divisors (69530722700).

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

55105050100 is a wasteful number, since it uses less digits than its factorization.

55105050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1555 counting only the distinct ones).

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

Subtracting from 55105050100 its reverse (105050155), we obtain a palindrome (54999999945).

The spelling of 55105050100 in words is "fifty-five billion, one hundred five million, fifty thousand, one hundred".