100304331141664 has 48 divisors (see below), whose sum is σ = 212676563879640. Its totient is φ = 46291674286080.

The previous prime is 100304331141661. The next prime is 100304331141667. The reversal of 100304331141664 is 466141133403001.

It is an interprime number because it is at equal distance from previous prime (100304331141661) and next prime (100304331141667).

It can be written as a sum of positive squares in 4 ways, for example, as 46040187525264 + 54264143616400 = 6785292^2 + 7366420^2 .

It is not an unprimeable number, because it can be changed into a prime (100304331141661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478954 + ... + 14171734.

Almost surely, 2^{100304331141664} is an apocalyptic number.

It is an amenable number.

100304331141664 is an abundant number, since it is smaller than the sum of its proper divisors (112372232737976).

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

100304331141664 is a wasteful number, since it uses less digits than its factorization.

100304331141664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13710413 (or 13710405 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 100304331141664 its reverse (466141133403001), we get a palindrome (566445464544665).

The spelling of 100304331141664 in words is "one hundred trillion, three hundred four billion, three hundred thirty-one million, one hundred forty-one thousand, six hundred sixty-four".