51108000 has 96 divisors (see below), whose sum is σ = 167469120. Its totient is φ = 13625600.

The previous prime is 51107993. The next prime is 51108007. The reversal of 51108000 is 80115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51107993) and next prime (51108007).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51108000² = 5224055328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51108007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9871 + ... + 14129.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 2^51108000 is an apocalyptic number.

51108000 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 51108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83734560).

51108000 is an abundant number, since it is smaller than the sum of its proper divisors (116361120).

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

51108000 is a wasteful number, since it uses less digits than its factorization.

51108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 51108000 is about 7148.9859420760. The cubic root of 51108000 is about 371.1045638769.

Adding to 51108000 its reverse (80115), we get a palindrome (51188115).

The spelling of 51108000 in words is "fifty-one million, one hundred eight thousand".