9005947101 has 12 divisors (see below), whose sum is σ = 13009918428. Its totient is φ = 6003351744.

The previous prime is 9005947079. The next prime is 9005947117. The reversal of 9005947101 is 1017495009.

It can be written as a sum of positive squares in 2 ways, for example, as 5975444601 + 3030502500 = 77301^2 + 55050^2 .

It is not a de Polignac number, because 9005947101 - 2⁹ = 9005946589 is a prime.

It is a super-2 number, since 2×9005947101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005947141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53161 + ... + 144353.

It is an arithmetic number, because the mean of its divisors is an integer number (1084159869).

Almost surely, 2^9005947101 is an apocalyptic number.

It is an amenable number.

9005947101 is a deficient number, since it is larger than the sum of its proper divisors (4003971327).

9005947101 is a wasteful number, since it uses less digits than its factorization.

9005947101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102172 (or 102169 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 9005947101 is about 94899.6686032148. The cubic root of 9005947101 is about 2080.5418876751.

The spelling of 9005947101 in words is "nine billion, five million, nine hundred forty-seven thousand, one hundred one".