90106555500105 has 16 divisors (see below), whose sum is σ = 144174599288064. Its totient is φ = 48055459437440.

The previous prime is 90106555500089. The next prime is 90106555500107. The reversal of 90106555500105 is 50100555560109.

It is not a de Polignac number, because 90106555500105 - 2⁴ = 90106555500089 is a prime.

It is a super-2 number, since 2×90106555500105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90106555500107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85091409 + ... + 86143838.

It is an arithmetic number, because the mean of its divisors is an integer number (9010912455504).

Almost surely, 2^{90106555500105} is an apocalyptic number.

It is an amenable number.

90106555500105 is a deficient number, since it is larger than the sum of its proper divisors (54068043787959).

90106555500105 is a wasteful number, since it uses less digits than its factorization.

90106555500105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171270336.

The product of its (nonzero) digits is 168750, while the sum is 42.

The spelling of 90106555500105 in words is "ninety trillion, one hundred six billion, five hundred fifty-five million, five hundred thousand, one hundred five".