51145100 has 72 divisors (see below), whose sum is σ = 119138208. Its totient is φ = 19008000.

The previous prime is 51145079. The next prime is 51145109. The reversal of 51145100 is 154115.

It is not an unprimeable number, because it can be changed into a prime (51145109) 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 23 ways as a sum of consecutive naturals, for example, 84800 + ... + 85400.

Almost surely, 2^51145100 is an apocalyptic number.

51145100 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 51145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59569104).

51145100 is an abundant number, since it is smaller than the sum of its proper divisors (67993108).

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

51145100 is a wasteful number, since it uses less digits than its factorization.

51145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 51145100 is about 7151.5802449529. The cubic root of 51145100 is about 371.1943387928.

Adding to 51145100 its reverse (154115), we get a palindrome (51299215).

The spelling of 51145100 in words is "fifty-one million, one hundred forty-five thousand, one hundred".