31140100 has 36 divisors (see below), whose sum is σ = 68097204. Its totient is φ = 12359680.

The previous prime is 31140077. The next prime is 31140157. The reversal of 31140100 is 104113.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 492804 + 30647296 = 702^2 + 5536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12564 + ... + 14836.

It is an arithmetic number, because the mean of its divisors is an integer number (1891589).

Almost surely, 2^31140100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34048602).

31140100 is an abundant number, since it is smaller than the sum of its proper divisors (36957104).

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

31140100 is a wasteful number, since it uses less digits than its factorization.

31140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 31140100 is about 5580.3315313698. The cubic root of 31140100 is about 314.6105879149.

Adding to 31140100 its reverse (104113), we get a palindrome (31244213).

The spelling of 31140100 in words is "thirty-one million, one hundred forty thousand, one hundred".