51107100 has 144 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 11648000.

The previous prime is 51107087. The next prime is 51107107. The reversal of 51107100 is 170115.

51107100 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 2×51107100² = 5223871340820000, which contains 22 as substring.

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 51107100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51107107) 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 47 ways as a sum of consecutive naturals, for example, 55645 + ... + 56555.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^51107100 is an apocalyptic number.

51107100 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 51107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

51107100 is an abundant number, since it is smaller than the sum of its proper divisors (119881956).

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

51107100 is a wasteful number, since it uses less digits than its factorization.

51107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 51107100 is about 7148.9229958085. The cubic root of 51107100 is about 371.1023855091.

Adding to 51107100 its reverse (170115), we get a palindrome (51277215).

The spelling of 51107100 in words is "fifty-one million, one hundred seven thousand, one hundred".