10144100103 has 16 divisors (see below), whose sum is σ = 13752024576. Its totient is φ = 6649532640.

The previous prime is 10144100089. The next prime is 10144100111. The reversal of 10144100103 is 30100144101.

10144100103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144100103 - 2⁹ = 10144099591 is a prime.

It is a super-2 number, since 2×10144100103² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625726 + ... + 641732.

It is an arithmetic number, because the mean of its divisors is an integer number (859501536).

Almost surely, 2^10144100103 is an apocalyptic number.

10144100103 is a deficient number, since it is larger than the sum of its proper divisors (3607924473).

10144100103 is a wasteful number, since it uses less digits than its factorization.

10144100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10144100103 its reverse (30100144101), we get a palindrome (40244244204).

The spelling of 10144100103 in words is "ten billion, one hundred forty-four million, one hundred thousand, one hundred three".