51170100 has 72 divisors (see below), whose sum is σ = 148823808. Its totient is φ = 13574400.

The previous prime is 51170099. The next prime is 51170137. The reversal of 51170100 is 107115.

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 51170100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83997 + ... + 84603.

Almost surely, 2^51170100 is an apocalyptic number.

51170100 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 51170100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74411904).

51170100 is an abundant number, since it is smaller than the sum of its proper divisors (97653708).

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

51170100 is a wasteful number, since it uses less digits than its factorization.

51170100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

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

The square root of 51170100 is about 7153.3278968603. The cubic root of 51170100 is about 371.2548095376.

Adding to 51170100 its reverse (107115), we get a palindrome (51277215).

The spelling of 51170100 in words is "fifty-one million, one hundred seventy thousand, one hundred".