10590105361 has 16 divisors (see below), whose sum is σ = 11606611968. Its totient is φ = 9582642000.

The previous prime is 10590105359. The next prime is 10590105367. The reversal of 10590105361 is 16350109501.

10590105361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10590105361 - 2¹ = 10590105359 is a prime.

It is a super-2 number, since 2×10590105361² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10590105367) 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, 4503336 + ... + 4505686.

It is an arithmetic number, because the mean of its divisors is an integer number (725413248).

Almost surely, 2^10590105361 is an apocalyptic number.

10590105361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10590105361 is a deficient number, since it is larger than the sum of its proper divisors (1016506607).

10590105361 is a wasteful number, since it uses less digits than its factorization.

10590105361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092.

The product of its (nonzero) digits is 4050, while the sum is 31.

The spelling of 10590105361 in words is "ten billion, five hundred ninety million, one hundred five thousand, three hundred sixty-one".