10201765 has 48 divisors (see below), whose sum is σ = 15926400. Its totient is φ = 6120576.

The previous prime is 10201699. The next prime is 10201769. The reversal of 10201765 is 56710201.

10201765 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201765 - 2¹⁷ = 10070693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201769) 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 47 ways as a sum of consecutive naturals, for example, 351771 + ... + 351799.

It is an arithmetic number, because the mean of its divisors is an integer number (331800).

Almost surely, 2^10201765 is an apocalyptic number.

It is an amenable number.

10201765 is a deficient number, since it is larger than the sum of its proper divisors (5724635).

10201765 is a wasteful number, since it uses less digits than its factorization.

10201765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10201765 is about 3194.0201940501. The cubic root of 10201765 is about 216.8827968251.

Adding to 10201765 its reverse (56710201), we get a palindrome (66911966).

The spelling of 10201765 in words is "ten million, two hundred one thousand, seven hundred sixty-five".