90083020105 has 32 divisors (see below), whose sum is σ = 117137782944. Its totient is φ = 66111123456.

The previous prime is 90083020099. The next prime is 90083020109. The reversal of 90083020105 is 50102038009.

It can be written as a sum of positive squares in 16 ways, for example, as 87874302096 + 2208718009 = 296436^2 + 46997^2 .

It is a cyclic number.

It is not a de Polignac number, because 90083020105 - 2⁷ = 90083019977 is a prime.

It is a super-2 number, since 2×90083020105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90083020109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6937399 + ... + 6950371.

It is an arithmetic number, because the mean of its divisors is an integer number (3660555717).

Almost surely, 2^90083020105 is an apocalyptic number.

It is an amenable number.

90083020105 is a deficient number, since it is larger than the sum of its proper divisors (27054762839).

90083020105 is a wasteful number, since it uses less digits than its factorization.

90083020105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13645.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 90083020105 in words is "ninety billion, eighty-three million, twenty thousand, one hundred five".