51105834 has 24 divisors (see below), whose sum is σ = 119247492. Its totient is φ = 15724800.

The previous prime is 51105829. The next prime is 51105863. The reversal of 51105834 is 43850115.

It can be written as a sum of positive squares in 2 ways, for example, as 45360225 + 5745609 = 6735^2 + 2397^2 .

It is a super-2 number, since 2×51105834² = 5223612537671112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51105798 and 51105807.

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 11 ways as a sum of consecutive naturals, for example, 108967 + ... + 109434.

Almost surely, 2^51105834 is an apocalyptic number.

51105834 is an abundant number, since it is smaller than the sum of its proper divisors (68141658).

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

51105834 is a wasteful number, since it uses less digits than its factorization.

51105834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218422 (or 218419 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51105834 is about 7148.8344504541. The cubic root of 51105834 is about 371.0993212284.

Adding to 51105834 its reverse (43850115), we get a palindrome (94955949).

The spelling of 51105834 in words is "fifty-one million, one hundred five thousand, eight hundred thirty-four".