51007100 has 72 divisors (see below), whose sum is σ = 117575808. Its totient is φ = 19166400.

The previous prime is 51007087. The next prime is 51007109. The reversal of 51007100 is 170015.

51007100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51007109) 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 23 ways as a sum of consecutive naturals, for example, 153935 + ... + 154265.

Almost surely, 2^51007100 is an apocalyptic number.

51007100 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 51007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58787904).

51007100 is an abundant number, since it is smaller than the sum of its proper divisors (66568708).

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

51007100 is a wasteful number, since it uses less digits than its factorization.

51007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 51007100 is about 7141.9255106729. The cubic root of 51007100 is about 370.8601851813.

Adding to 51007100 its reverse (170015), we get a palindrome (51177115).

The spelling of 51007100 in words is "fifty-one million, seven thousand, one hundred".