51100686 has 64 divisors (see below), whose sum is σ = 139776000. Its totient is φ = 13475808.

The previous prime is 51100661. The next prime is 51100729. The reversal of 51100686 is 68600115.

51100686 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 2×51100686² = 5222560219341192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 286 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^51100686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51100686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888000).

51100686 is an abundant number, since it is smaller than the sum of its proper divisors (88675314).

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

51100686 is a wasteful number, since it uses less digits than its factorization.

51100686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10424 counting only the distinct ones).

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

The square root of 51100686 is about 7148.4743826917. The cubic root of 51100686 is about 371.0868602671.

The spelling of 51100686 in words is "fifty-one million, one hundred thousand, six hundred eighty-six".