10201005 has 64 divisors (see below), whose sum is σ = 19756800. Its totient is φ = 4976640.

The previous prime is 10201001. The next prime is 10201007. The reversal of 10201005 is 50010201.

It is a happy number.

It is not a de Polignac number, because 10201005 - 2² = 10201001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105117 + ... + 105213.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 2^10201005 is an apocalyptic number.

10201005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10201005 is a deficient number, since it is larger than the sum of its proper divisors (9555795).

10201005 is a wasteful number, since it uses less digits than its factorization.

10201005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10201005 is about 3193.9012195120. The cubic root of 10201005 is about 216.8774109918.

Adding to 10201005 its reverse (50010201), we get a palindrome (60211206).

It can be divided in two parts, 1020 and 1005, that added together give a square (2025 = 45²).

The spelling of 10201005 in words is "ten million, two hundred one thousand, five".