10100003093 has 16 divisors (see below), whose sum is σ = 10759048560. Its totient is φ = 9448320000.

The previous prime is 10100003051. The next prime is 10100003107. The reversal of 10100003093 is 39030000101.

It can be written as a sum of positive squares in 8 ways, for example, as 2865139729 + 7234863364 = 53527^2 + 85058^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100003093 - 2⁶ = 10100003029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2727143 + ... + 2730843.

It is an arithmetic number, because the mean of its divisors is an integer number (672440535).

Almost surely, 2^10100003093 is an apocalyptic number.

It is an amenable number.

10100003093 is a deficient number, since it is larger than the sum of its proper divisors (659045467).

10100003093 is a wasteful number, since it uses less digits than its factorization.

10100003093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10100003093 its reverse (39030000101), we get a palindrome (49130003194).

The spelling of 10100003093 in words is "ten billion, one hundred million, three thousand, ninety-three".