10108584358361 has 8 divisors (see below), whose sum is σ = 10141135964424. Its totient is φ = 10076036924800.

The previous prime is 10108584358349. The next prime is 10108584358363. The reversal of 10108584358361 is 16385348580101.

It can be written as a sum of positive squares in 4 ways, for example, as 1137624894025 + 8970959464336 = 1066595^2 + 2995156^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10108584358361 - 2¹⁸ = 10108584096217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10108584358363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3846851 + ... + 5917383.

It is an arithmetic number, because the mean of its divisors is an integer number (1267641995553).

Almost surely, 2^{10108584358361} is an apocalyptic number.

It is an amenable number.

10108584358361 is a deficient number, since it is larger than the sum of its proper divisors (32551606063).

10108584358361 is a wasteful number, since it uses less digits than its factorization.

10108584358361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086251.

The product of its (nonzero) digits is 2764800, while the sum is 53.

The spelling of 10108584358361 in words is "ten trillion, one hundred eight billion, five hundred eighty-four million, three hundred fifty-eight thousand, three hundred sixty-one".