51359100 has 108 divisors (see below), whose sum is σ = 161067816. Its totient is φ = 12629760.

The previous prime is 51359093. The next prime is 51359131. The reversal of 51359100 is 195315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50194 + ... + 51206.

Almost surely, 2^51359100 is an apocalyptic number.

51359100 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 51359100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80533908).

51359100 is an abundant number, since it is smaller than the sum of its proper divisors (109708716).

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

51359100 is a wasteful number, since it uses less digits than its factorization.

51359100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 24.

The square root of 51359100 is about 7166.5263552156. The cubic root of 51359100 is about 371.7113323044.

The spelling of 51359100 in words is "fifty-one million, three hundred fifty-nine thousand, one hundred".