51446100 has 72 divisors (see below), whose sum is σ = 149712640. Its totient is φ = 13639680.

The previous prime is 51446099. The next prime is 51446113. The reversal of 51446100 is 164415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66516 + ... + 67284.

Almost surely, 2^51446100 is an apocalyptic number.

51446100 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 51446100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74856320).

51446100 is an abundant number, since it is smaller than the sum of its proper divisors (98266540).

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

51446100 is a wasteful number, since it uses less digits than its factorization.

51446100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51446100 is about 7172.5936731422. The cubic root of 51446100 is about 371.9211013156.

The spelling of 51446100 in words is "fifty-one million, four hundred forty-six thousand, one hundred".