100013103144 has 48 divisors (see below), whose sum is σ = 273550710420. Its totient is φ = 33007622400.

The previous prime is 100013103137. The next prime is 100013103163. The reversal of 100013103144 is 441301310001.

It can be written as a sum of positive squares in 2 ways, for example, as 85461506244 + 14551596900 = 292338^2 + 120630^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6869317 + ... + 6883860.

Almost surely, 2^100013103144 is an apocalyptic number.

It is an amenable number.

100013103144 is an abundant number, since it is smaller than the sum of its proper divisors (173537607276).

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

100013103144 is a wasteful number, since it uses less digits than its factorization.

100013103144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753290 (or 13753283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100013103144 its reverse (441301310001), we get a palindrome (541314413145).

The spelling of 100013103144 in words is "one hundred billion, thirteen million, one hundred three thousand, one hundred forty-four".