100441300 has 36 divisors (see below), whose sum is σ = 218540700. Its totient is φ = 40069120.

The previous prime is 100441291. The next prime is 100441309. The reversal of 100441300 is 3144001.

It is an interprime number because it is at equal distance from previous prime (100441291) and next prime (100441309).

It can be written as a sum of positive squares in 6 ways, for example, as 521284 + 99920016 = 722^2 + 9996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100441309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43782 + ... + 46018.

It is an arithmetic number, because the mean of its divisors is an integer number (6070575).

Almost surely, 2^100441300 is an apocalyptic number.

100441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441300 is an abundant number, since it is smaller than the sum of its proper divisors (118099400).

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

100441300 is a wasteful number, since it uses less digits than its factorization.

100441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100441300 is about 10022.0407103544. The cubic root of 100441300 is about 464.8406591678.

Adding to 100441300 its reverse (3144001), we get a palindrome (103585301).

The spelling of 100441300 in words is "one hundred million, four hundred forty-one thousand, three hundred".