55001100 has 144 divisors (see below), whose sum is σ = 198487296. Its totient is φ = 11424000.

The previous prime is 55001083. The next prime is 55001101. The reversal of 55001100 is 110055.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (55001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21910 + ... + 24290.

It is an arithmetic number, because the mean of its divisors is an integer number (1378384).

Almost surely, 2^55001100 is an apocalyptic number.

55001100 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 55001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99243648).

55001100 is an abundant number, since it is smaller than the sum of its proper divisors (143486196).

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

55001100 is a wasteful number, since it uses less digits than its factorization.

55001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 55001100 is about 7416.2726487097. The cubic root of 55001100 is about 380.2977813609.

Adding to 55001100 its reverse (110055), we get a palindrome (55111155).

The spelling of 55001100 in words is "fifty-five million, one thousand, one hundred".