51030100 has 72 divisors (see below), whose sum is σ = 126116928. Its totient is φ = 17740800.

The previous prime is 51030079. The next prime is 51030101. The reversal of 51030100 is 103015.

It is a super-2 number, since 2×51030100² = 5208142212020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51030101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24292 + ... + 26308.

It is an arithmetic number, because the mean of its divisors is an integer number (1751624).

Almost surely, 2^51030100 is an apocalyptic number.

51030100 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 51030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63058464).

51030100 is an abundant number, since it is smaller than the sum of its proper divisors (75086828).

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

51030100 is a wasteful number, since it uses less digits than its factorization.

51030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 51030100 is about 7143.5355392131. The cubic root of 51030100 is about 370.9159192686.

Adding to 51030100 its reverse (103015), we get a palindrome (51133115).

The spelling of 51030100 in words is "fifty-one million, thirty thousand, one hundred".