100031300 has 18 divisors (see below), whose sum is σ = 217068138. Its totient is φ = 40012480.

The previous prime is 100031297. The next prime is 100031303. The reversal of 100031300 is 3130001.

It is an interprime number because it is at equal distance from previous prime (100031297) and next prime (100031303).

It can be written as a sum of positive squares in 3 ways, for example, as 6677056 + 93354244 = 2584^2 + 9662^2 .

It is not an unprimeable number, because it can be changed into a prime (100031303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500057 + ... + 500256.

It is an arithmetic number, because the mean of its divisors is an integer number (12059341).

Almost surely, 2^100031300 is an apocalyptic number.

100031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031300 is an abundant number, since it is smaller than the sum of its proper divisors (117036838).

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

100031300 is a wasteful number, since it uses less digits than its factorization.

100031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000327 (or 1000320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 100031300 is about 10001.5648775579. The cubic root of 100031300 is about 464.2073055531.

Adding to 100031300 its reverse (3130001), we get a palindrome (103161301).

The spelling of 100031300 in words is "one hundred million, thirty-one thousand, three hundred".