9006101 has 16 divisors (see below), whose sum is σ = 10134768. Its totient is φ = 7948800.

The previous prime is 9006077. The next prime is 9006139. The reversal of 9006101 is 1016009.

9006101 = 576² + 577² + ... + 601².

It can be written as a sum of positive squares in 8 ways, for example, as 6027025 + 2979076 = 2455^2 + 1726^2 .

It is a cyclic number.

It is not a de Polignac number, because 9006101 - 2²² = 4811797 is a prime.

It is a super-2 number, since 2×9006101² = 162219710444402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9006101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006181) 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, 32375 + ... + 32651.

It is an arithmetic number, because the mean of its divisors is an integer number (633423).

Almost surely, 2^9006101 is an apocalyptic number.

It is an amenable number.

9006101 is a deficient number, since it is larger than the sum of its proper divisors (1128667).

9006101 is a wasteful number, since it uses less digits than its factorization.

9006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 9006101 is about 3001.0166610667. The cubic root of 9006101 is about 208.0553738788.

The spelling of 9006101 in words is "nine million, six thousand, one hundred one".