51858100 has 72 divisors (see below), whose sum is σ = 134241408. Its totient is φ = 17001600.

The previous prime is 51858047. The next prime is 51858161. The reversal of 51858100 is 185815.

51858100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51858100² = 5378525071220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14490 + ... + 17710.

It is an arithmetic number, because the mean of its divisors is an integer number (1864464).

Almost surely, 2^51858100 is an apocalyptic number.

51858100 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 51858100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67120704).

51858100 is an abundant number, since it is smaller than the sum of its proper divisors (82383308).

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

51858100 is a wasteful number, since it uses less digits than its factorization.

51858100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 51858100 is about 7201.2568347477. The cubic root of 51858100 is about 372.9112914275.

The spelling of 51858100 in words is "fifty-one million, eight hundred fifty-eight thousand, one hundred".