51866100 has 324 divisors, whose sum is σ = 198237312. Its totient is φ = 11232000.

The previous prime is 51866083. The next prime is 51866147. The reversal of 51866100 is 166815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1673085 + ... + 1673115.

Almost surely, 2^51866100 is an apocalyptic number.

51866100 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 51866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99118656).

51866100 is an abundant number, since it is smaller than the sum of its proper divisors (146371212).

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

51866100 is a wasteful number, since it uses less digits than its factorization.

51866100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 51866100 is about 7201.8122719216. The cubic root of 51866100 is about 372.9304664258.

The spelling of 51866100 in words is "fifty-one million, eight hundred sixty-six thousand, one hundred".