51105100 has 36 divisors (see below), whose sum is σ = 112319200. Its totient is φ = 20180160.

The previous prime is 51105083. The next prime is 51105101. The reversal of 51105100 is 150115.

51105100 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 2×51105100² = 5223462492020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51105101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4666 + ... + 11134.

Almost surely, 2^51105100 is an apocalyptic number.

51105100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56159600).

51105100 is an abundant number, since it is smaller than the sum of its proper divisors (61214100).

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

51105100 is a wasteful number, since it uses less digits than its factorization.

51105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 51105100 is about 7148.7831132298. The cubic root of 51105100 is about 371.0975446002.

Adding to 51105100 its reverse (150115), we get a palindrome (51255215).

The spelling of 51105100 in words is "fifty-one million, one hundred five thousand, one hundred".