51105222200 has 96 divisors (see below), whose sum is σ = 120277301760. Its totient is φ = 20192764800.

The previous prime is 51105222187. The next prime is 51105222211. The reversal of 51105222200 is 222250115.

It is a happy number.

It is a super-2 number, since 2×51105222200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5838227 + ... + 5846973.

It is an arithmetic number, because the mean of its divisors is an integer number (1252888560).

Almost surely, 2^51105222200 is an apocalyptic number.

51105222200 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 51105222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60138650880).

51105222200 is an abundant number, since it is smaller than the sum of its proper divisors (69172079560).

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

51105222200 is a wasteful number, since it uses less digits than its factorization.

51105222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9117 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 51105222200 its reverse (222250115), we get a palindrome (51327472315).

The spelling of 51105222200 in words is "fifty-one billion, one hundred five million, two hundred twenty-two thousand, two hundred".