55610105110100 has 72 divisors (see below), whose sum is σ = 121978634664600. Its totient is φ = 22003940416000.

The previous prime is 55610105110093. The next prime is 55610105110117. The reversal of 55610105110100 is 101150101655.

It can be written as a sum of positive squares in 12 ways, for example, as 4445468631184 + 51164636478916 = 2108428^2 + 7152946^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55610105110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8718506 + ... + 13683294.

It is an arithmetic number, because the mean of its divisors is an integer number (1694147703675).

Almost surely, 2^{55610105110100} is an apocalyptic number.

55610105110100 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 55610105110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60989317332300).

55610105110100 is an abundant number, since it is smaller than the sum of its proper divisors (66368529554500).

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

55610105110100 is a wasteful number, since it uses less digits than its factorization.

55610105110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966013 (or 4966006 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 55610105110100 its reverse (101150101655), we get a palindrome (55711255211755).

The spelling of 55610105110100 in words is "fifty-five trillion, six hundred ten billion, one hundred five million, one hundred ten thousand, one hundred".