90105880061 has 4 divisors (see below), whose sum is σ = 90106518300. Its totient is φ = 90105241824.

The previous prime is 90105880013. The next prime is 90105880099. The reversal of 90105880061 is 16008850109.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 34784488036 + 55321392025 = 186506^2 + 235205^2 .

It is a cyclic number.

It is not a de Polignac number, because 90105880061 - 2¹⁴ = 90105863677 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90105879997 and 90105880024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105880261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2906 + ... + 424523.

It is an arithmetic number, because the mean of its divisors is an integer number (22526629575).

Almost surely, 2^90105880061 is an apocalyptic number.

It is an amenable number.

90105880061 is a deficient number, since it is larger than the sum of its proper divisors (638239).

90105880061 is a wasteful number, since it uses less digits than its factorization.

90105880061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638238.

The product of its (nonzero) digits is 17280, while the sum is 38.

The spelling of 90105880061 in words is "ninety billion, one hundred five million, eight hundred eighty thousand, sixty-one".