9000105701 has 8 divisors (see below), whose sum is σ = 9089431104. Its totient is φ = 8910817920.

The previous prime is 9000105671. The next prime is 9000105733. The reversal of 9000105701 is 1075010009.

9000105701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 9000105701 - 2⁶ = 9000105637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000108701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923285 + ... + 932981.

It is an arithmetic number, because the mean of its divisors is an integer number (1136178888).

Almost surely, 2^9000105701 is an apocalyptic number.

It is an amenable number.

9000105701 is a deficient number, since it is larger than the sum of its proper divisors (89325403).

9000105701 is a wasteful number, since it uses less digits than its factorization.

9000105701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18811.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 9000105701 is about 94868.8868966006. The cubic root of 9000105701 is about 2080.0919662400.

The spelling of 9000105701 in words is "nine billion, one hundred five thousand, seven hundred one".