10085381 has 8 divisors (see below), whose sum is σ = 10265304. Its totient is φ = 9907200.

The previous prime is 10085351. The next prime is 10085429. The reversal of 10085381 is 18358001.

It can be written as a sum of positive squares in 4 ways, for example, as 5134756 + 4950625 = 2266^2 + 2225^2 .

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 10085381 - 2¹⁰ = 10084357 is a prime.

It is a super-2 number, since 2×10085381² = 203429819830322, which contains 22 as substring.

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 10085381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085311) 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, 16481 + ... + 17081.

It is an arithmetic number, because the mean of its divisors is an integer number (1283163).

Almost surely, 2^10085381 is an apocalyptic number.

It is an amenable number.

10085381 is a deficient number, since it is larger than the sum of its proper divisors (179923).

10085381 is an equidigital number, since it uses as much as digits as its factorization.

10085381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 10085381 is about 3175.7488880577. The cubic root of 10085381 is about 216.0548914564.

The spelling of 10085381 in words is "ten million, eighty-five thousand, three hundred eighty-one".