51248106 has 64 divisors (see below), whose sum is σ = 140179200. Its totient is φ = 13514688.

The previous prime is 51248089. The next prime is 51248129. The reversal of 51248106 is 60184215.

51248106 is a `hidden beast` number, since 512 + 48 + 106 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51248106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301 + ... + 10128.

It is an arithmetic number, because the mean of its divisors is an integer number (2190300).

Almost surely, 2^51248106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51248106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70089600).

51248106 is an abundant number, since it is smaller than the sum of its proper divisors (88931094).

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

51248106 is a wasteful number, since it uses less digits than its factorization.

51248106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51248106 is about 7158.7782477180. The cubic root of 51248106 is about 371.4433662605.

The spelling of 51248106 in words is "fifty-one million, two hundred forty-eight thousand, one hundred six".