90100000106 has 64 divisors (see below), whose sum is σ = 144085858560. Its totient is φ = 42201169920.

The previous prime is 90100000103. The next prime is 90100000117. The reversal of 90100000106 is 60100000109.

It is a super-2 number, since 2×90100000106² (a number of 23 digits) contains 22 as substring.

90100000106 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90100000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71564105 + ... + 71565363.

It is an arithmetic number, because the mean of its divisors is an integer number (2251341540).

Almost surely, 2^90100000106 is an apocalyptic number.

90100000106 is a deficient number, since it is larger than the sum of its proper divisors (53985858454).

90100000106 is a wasteful number, since it uses less digits than its factorization.

90100000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

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

The spelling of 90100000106 in words is "ninety billion, one hundred million, one hundred six", and thus it is an aban number.