51464100 has 72 divisors (see below), whose sum is σ = 157677408. Its totient is φ = 12915200.

The previous prime is 51464099. The next prime is 51464131. The reversal of 51464100 is 146415.

It is an unprimeable number.

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, 55 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (2189964).

Almost surely, 2^51464100 is an apocalyptic number.

51464100 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 51464100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78838704).

51464100 is an abundant number, since it is smaller than the sum of its proper divisors (106213308).

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

51464100 is a wasteful number, since it uses less digits than its factorization.

51464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125 (or 10118 counting only the distinct ones).

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

The square root of 51464100 is about 7173.8483396292. The cubic root of 51464100 is about 371.9644722690.

The spelling of 51464100 in words is "fifty-one million, four hundred sixty-four thousand, one hundred".