9101001006 has 48 divisors (see below), whose sum is σ = 19864722384. Its totient is φ = 3011271552.

The previous prime is 9101001001. The next prime is 9101001029. The reversal of 9101001006 is 6001001019.

It is a super-2 number, since 2×9101001006² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 9101001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9101001001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3275890 + ... + 3278666.

It is an arithmetic number, because the mean of its divisors is an integer number (413848383).

Almost surely, 2^9101001006 is an apocalyptic number.

9101001006 is an abundant number, since it is smaller than the sum of its proper divisors (10763721378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9101001006 is a wasteful number, since it uses less digits than its factorization.

9101001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 9101001006 is about 95399.1666944738. The cubic root of 9101001006 is about 2087.8360274964.

The spelling of 9101001006 in words is "nine billion, one hundred one million, one thousand, six".