10007038105 has 16 divisors (see below), whose sum is σ = 12215338704. Its totient is φ = 7867918080.

The previous prime is 10007038081. The next prime is 10007038163. The reversal of 10007038105 is 50183070001.

It can be written as a sum of positive squares in 8 ways, for example, as 48594841 + 9958443264 = 6971^2 + 99792^2 .

It is not a de Polignac number, because 10007038105 - 2¹⁹ = 10006513817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10007038105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376639 + ... + 402331.

It is an arithmetic number, because the mean of its divisors is an integer number (763458669).

Almost surely, 2^10007038105 is an apocalyptic number.

It is an amenable number.

10007038105 is a deficient number, since it is larger than the sum of its proper divisors (2208300599).

10007038105 is a wasteful number, since it uses less digits than its factorization.

10007038105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27036.

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 10007038105 in words is "ten billion, seven million, thirty-eight thousand, one hundred five".