51107600 has 60 divisors (see below), whose sum is σ = 124683984. Its totient is φ = 20127360.

The previous prime is 51107597. The next prime is 51107603. The reversal of 51107600 is 670115.

It is an interprime number because it is at equal distance from previous prime (51107597) and next prime (51107603).

It is a super-2 number, since 2×51107600² = 5223973555520000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51107603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25847 + ... + 27753.

Almost surely, 2^51107600 is an apocalyptic number.

51107600 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 51107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62341992).

51107600 is an abundant number, since it is smaller than the sum of its proper divisors (73576384).

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

51107600 is a wasteful number, since it uses less digits than its factorization.

51107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 51107600 is about 7148.9579660255. The cubic root of 51107600 is about 371.1035957166.

Adding to 51107600 its reverse (670115), we get a palindrome (51777715).

The spelling of 51107600 in words is "fifty-one million, one hundred seven thousand, six hundred".