51006100110 has 128 divisors (see below), whose sum is σ = 148286121984. Its totient is φ = 10961326080.

The previous prime is 51006100109. The next prime is 51006100111. The reversal of 51006100110 is 1100160015.

It is an interprime number because it is at equal distance from previous prime (51006100109) and next prime (51006100111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51006100110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006100111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3680895 + ... + 3694725.

It is an arithmetic number, because the mean of its divisors is an integer number (1158485328).

Almost surely, 2^51006100110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74143060992).

51006100110 is an abundant number, since it is smaller than the sum of its proper divisors (97280021874).

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

51006100110 is a wasteful number, since it uses less digits than its factorization.

51006100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14898.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 51006100110 its reverse (1100160015), we get a palindrome (52106260125).

The spelling of 51006100110 in words is "fifty-one billion, six million, one hundred thousand, one hundred ten".