51032100 has 144 divisors (see below), whose sum is σ = 177766400. Its totient is φ = 11041920.

The previous prime is 51032087. The next prime is 51032143. The reversal of 51032100 is 123015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39261 + ... + 40539.

Almost surely, 2^51032100 is an apocalyptic number.

51032100 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 51032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88883200).

51032100 is an abundant number, since it is smaller than the sum of its proper divisors (126734300).

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

51032100 is a wasteful number, since it uses less digits than its factorization.

51032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 51032100 is about 7143.6755245462. The cubic root of 51032100 is about 370.9207649195.

Adding to 51032100 its reverse (123015), we get a palindrome (51155115).

The spelling of 51032100 in words is "fifty-one million, thirty-two thousand, one hundred".