51105600 has 504 divisors, whose sum is σ = 230550720. Its totient is φ = 10782720.

The previous prime is 51105599. The next prime is 51105619. The reversal of 51105600 is 650115.

51105600 is a `hidden beast` number, since 51 + 10 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×51105600² = 5223564702720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3931194 + ... + 3931206.

Almost surely, 2^51105600 is an apocalyptic number.

51105600 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 51105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115275360).

51105600 is an abundant number, since it is smaller than the sum of its proper divisors (179445120).

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

51105600 is a wasteful number, since it uses less digits than its factorization.

51105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51105600 is about 7148.8180841311. The cubic root of 51105600 is about 371.0987548392.

Adding to 51105600 its reverse (650115), we get a palindrome (51755715).

The spelling of 51105600 in words is "fifty-one million, one hundred five thousand, six hundred".