51106400 has 72 divisors (see below), whose sum is σ = 125788824. Its totient is φ = 20275200.

The previous prime is 51106379. The next prime is 51106411. The reversal of 51106400 is 460115.

It is a happy number.

It is a super-2 number, since 2×51106400² = 5223728241920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154235 + ... + 154565.

It is an arithmetic number, because the mean of its divisors is an integer number (1747067).

Almost surely, 2^51106400 is an apocalyptic number.

51106400 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 51106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62894412).

51106400 is an abundant number, since it is smaller than the sum of its proper divisors (74682424).

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

51106400 is a wasteful number, since it uses less digits than its factorization.

51106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 51106400 is about 7148.8740372173. The cubic root of 51106400 is about 371.1006912053.

Adding to 51106400 its reverse (460115), we get a palindrome (51566515).

The spelling of 51106400 in words is "fifty-one million, one hundred six thousand, four hundred".