10105337 has 8 divisors (see below), whose sum is σ = 11092032. Its totient is φ = 9130000.

The previous prime is 10105309. The next prime is 10105367. The reversal of 10105337 is 73350101.

It is a happy number.

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

It is not a de Polignac number, because 10105337 - 2¹⁰ = 10104313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105367) 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, 914 + ... + 4587.

It is an arithmetic number, because the mean of its divisors is an integer number (1386504).

Almost surely, 2^10105337 is an apocalyptic number.

It is an amenable number.

10105337 is a deficient number, since it is larger than the sum of its proper divisors (986695).

10105337 is a wasteful number, since it uses less digits than its factorization.

10105337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 10105337 is about 3178.8892714280. The cubic root of 10105337 is about 216.1973005779.

Adding to 10105337 its reverse (73350101), we get a palindrome (83455438).

The spelling of 10105337 in words is "ten million, one hundred five thousand, three hundred thirty-seven".