90105761 has 2 divisors, whose sum is σ = 90105762. Its totient is φ = 90105760.

The previous prime is 90105727. The next prime is 90105791. The reversal of 90105761 is 16750109.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67486225 + 22619536 = 8215^2 + 4756^2 .

It is an emirp because it is prime and its reverse (16750109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90105761 - 2¹⁸ = 89843617 is a prime.

It is not a weakly prime, because it can be changed into another prime (90105791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45052880 + 45052881.

It is an arithmetic number, because the mean of its divisors is an integer number (45052881).

Almost surely, 2^90105761 is an apocalyptic number.

It is an amenable number.

90105761 is a deficient number, since it is larger than the sum of its proper divisors (1).

90105761 is an equidigital number, since it uses as much as digits as its factorization.

90105761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 90105761 is about 9492.4054380331. The cubic root of 90105761 is about 448.3159458838.

The spelling of 90105761 in words is "ninety million, one hundred five thousand, seven hundred sixty-one".