90105598577 has 2 divisors, whose sum is σ = 90105598578. Its totient is φ = 90105598576.

The previous prime is 90105598477. The next prime is 90105598579. The reversal of 90105598577 is 77589550109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78736921201 + 11368677376 = 280601^2 + 106624^2 .

It is a cyclic number.

It is not a de Polignac number, because 90105598577 - 2¹⁰ = 90105597553 is a prime.

Together with 90105598579, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (90105598579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45052799288 + 45052799289.

It is an arithmetic number, because the mean of its divisors is an integer number (45052799289).

Almost surely, 2^90105598577 is an apocalyptic number.

It is an amenable number.

90105598577 is a deficient number, since it is larger than the sum of its proper divisors (1).

90105598577 is an equidigital number, since it uses as much as digits as its factorization.

90105598577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3969000, while the sum is 56.

The spelling of 90105598577 in words is "ninety billion, one hundred five million, five hundred ninety-eight thousand, five hundred seventy-seven".