90113110032105 has 12 divisors (see below), whose sum is σ = 156196057389060. Its totient is φ = 48060325350432.

The previous prime is 90113110032091. The next prime is 90113110032109. The reversal of 90113110032105 is 50123001131109.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25171302444201 + 64941807587904 = 5017101^2 + 8058648^2 .

It is not a de Polignac number, because 90113110032105 - 2¹¹ = 90113110030057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90113110032109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001256778090 + ... + 1001256778179.

It is an arithmetic number, because the mean of its divisors is an integer number (13016338115755).

Almost surely, 2^{90113110032105} is an apocalyptic number.

It is an amenable number.

90113110032105 is a deficient number, since it is larger than the sum of its proper divisors (66082947356955).

90113110032105 is a wasteful number, since it uses less digits than its factorization.

90113110032105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002513556280 (or 2002513556277 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 90113110032105 in words is "ninety trillion, one hundred thirteen billion, one hundred ten million, thirty-two thousand, one hundred five".