90126119905 has 32 divisors (see below), whose sum is σ = 120574172160. Its totient is φ = 64269987840.

The previous prime is 90126119891. The next prime is 90126119917. The reversal of 90126119905 is 50991162109.

It is not a de Polignac number, because 90126119905 - 2⁷ = 90126119777 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8727145 + ... + 8737465.

It is an arithmetic number, because the mean of its divisors is an integer number (3767942880).

Almost surely, 2^90126119905 is an apocalyptic number.

90126119905 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90126119905 is a deficient number, since it is larger than the sum of its proper divisors (30448052255).

90126119905 is a wasteful number, since it uses less digits than its factorization.

90126119905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769.

The product of its (nonzero) digits is 43740, while the sum is 43.

The spelling of 90126119905 in words is "ninety billion, one hundred twenty-six million, one hundred nineteen thousand, nine hundred five".