10005770201 has 32 divisors (see below), whose sum is σ = 12312207360. Its totient is φ = 7946288064.

The previous prime is 10005770183. The next prime is 10005770231. The reversal of 10005770201 is 10207750001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10005770201 - 2¹⁴ = 10005753817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005770231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666686 + ... + 681528.

It is an arithmetic number, because the mean of its divisors is an integer number (384756480).

Almost surely, 2^10005770201 is an apocalyptic number.

It is an amenable number.

10005770201 is a deficient number, since it is larger than the sum of its proper divisors (2306437159).

10005770201 is a wasteful number, since it uses less digits than its factorization.

10005770201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15005.

The product of its (nonzero) digits is 490, while the sum is 23.

The spelling of 10005770201 in words is "ten billion, five million, seven hundred seventy thousand, two hundred one".