51105006 has 40 divisors (see below), whose sum is σ = 115259760. Its totient is φ = 16924032.

The previous prime is 51105001. The next prime is 51105013. The reversal of 51105006 is 60050115.

It is a super-2 number, since 2×51105006² = 5223443276520072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 51105006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51105001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26110 + ... + 27998.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494).

Almost surely, 2^51105006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51105006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57629880).

51105006 is an abundant number, since it is smaller than the sum of its proper divisors (64154754).

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

51105006 is a wasteful number, since it uses less digits than its factorization.

51105006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51105006 is about 7148.7765386813. The cubic root of 51105006 is about 371.0973170743.

It can be divided in two parts, 5 and 1105006, that added together give a palindrome (1105011).

The spelling of 51105006 in words is "fifty-one million, one hundred five thousand, six".