10002312105 has 16 divisors (see below), whose sum is σ = 16699512960. Its totient is φ = 5102628608.

The previous prime is 10002312091. The next prime is 10002312119. The reversal of 10002312105 is 50121320001.

10002312105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10002312091) and next prime (10002312119).

It is a cyclic number.

It is not a de Polignac number, because 10002312105 - 2¹⁵ = 10002279337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 14495760 + ... + 14496449.

It is an arithmetic number, because the mean of its divisors is an integer number (1043719560).

Almost surely, 2^10002312105 is an apocalyptic number.

10002312105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002312105 is a deficient number, since it is larger than the sum of its proper divisors (6697200855).

10002312105 is a wasteful number, since it uses less digits than its factorization.

10002312105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28992240.

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10002312105 its reverse (50121320001), we get a palindrome (60123632106).

The spelling of 10002312105 in words is "ten billion, two million, three hundred twelve thousand, one hundred five".