10085153 has 8 divisors (see below), whose sum is σ = 10969896. Its totient is φ = 9216000.

The previous prime is 10085149. The next prime is 10085161. The reversal of 10085153 is 35158001.

It can be written as a sum of positive squares in 4 ways, for example, as 3157729 + 6927424 = 1777^2 + 2632^2 .

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 10085153 - 2² = 10085149 is a prime.

It is a super-2 number, since 2×10085153² = 203420622066818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10085113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2528 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (1371237).

Almost surely, 2^10085153 is an apocalyptic number.

10085153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10085153 is a deficient number, since it is larger than the sum of its proper divisors (884743).

10085153 is a wasteful number, since it uses less digits than its factorization.

10085153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 10085153 is about 3175.7129908101. The cubic root of 10085153 is about 216.0532633279.

The spelling of 10085153 in words is "ten million, eighty-five thousand, one hundred fifty-three".