9006010100106 has 8 divisors (see below), whose sum is σ = 18012020200224. Its totient is φ = 3002003366700.

The previous prime is 9006010100069. The next prime is 9006010100107. The reversal of 9006010100106 is 6010010106009.

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

9006010100106 is an admirable number.

It is a super-2 number, since 2×9006010100106² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9006010100107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 750500841670 + ... + 750500841681.

It is an arithmetic number, because the mean of its divisors is an integer number (2251502525028).

Almost surely, 2^{9006010100106} is an apocalyptic number.

9006010100106 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

9006010100106 is a wasteful number, since it uses less digits than its factorization.

9006010100106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501001683356.

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 9006010100106 in words is "nine trillion, six billion, ten million, one hundred thousand, one hundred six".