10035201 has 16 divisors (see below), whose sum is σ = 14954688. Its totient is φ = 5932800.

The previous prime is 10035169. The next prime is 10035203. The reversal of 10035201 is 10253001.

10035201 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 10035201 - 2⁵ = 10035169 is a prime.

It is a super-2 number, since 2×10035201² = 201410518220802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10035203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356 + ... + 5061.

It is an arithmetic number, because the mean of its divisors is an integer number (934668).

It is a Proth number, since it is equal to 1225 ⋅ 2¹³ + 1 and 1225 < 2¹³.

Almost surely, 2^10035201 is an apocalyptic number.

10035201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10035201 is a deficient number, since it is larger than the sum of its proper divisors (4919487).

10035201 is a wasteful number, since it uses less digits than its factorization.

10035201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7472.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10035201 is about 3167.8385375521. The cubic root of 10035201 is about 215.6959671467.

Adding to 10035201 its reverse (10253001), we get a palindrome (20288202).

The spelling of 10035201 in words is "ten million, thirty-five thousand, two hundred one".