10985153 has 8 divisors (see below), whose sum is σ = 11166120. Its totient is φ = 10805760.

The previous prime is 10985147. The next prime is 10985197. The reversal of 10985153 is 35158901.

It can be written as a sum of positive squares in 4 ways, for example, as 693889 + 10291264 = 833^2 + 3208^2 .

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 10985153 - 2⁴ = 10985137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10985123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25883 + ... + 26303.

It is an arithmetic number, because the mean of its divisors is an integer number (1395765).

Almost surely, 2^10985153 is an apocalyptic number.

It is an amenable number.

10985153 is a deficient number, since it is larger than the sum of its proper divisors (180967).

10985153 is an equidigital number, since it uses as much as digits as its factorization.

10985153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 10985153 is about 3314.3857651155. The cubic root of 10985153 is about 222.2979051197.

The spelling of 10985153 in words is "ten million, nine hundred eighty-five thousand, one hundred fifty-three".