90307909305 has 12 divisors (see below), whose sum is σ = 156533709540. Its totient is φ = 48164218272.

The previous prime is 90307909277. The next prime is 90307909309. The reversal of 90307909305 is 50390970309.

It can be written as a sum of positive squares in 2 ways, for example, as 43006879161 + 47301030144 = 207381^2 + 217488^2 .

It is not a de Polignac number, because 90307909305 - 2⁷ = 90307909177 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2006842429 = 90307909305 / (9 + 0 + 3 + 0 + 7 + 9 + 0 + 9 + 3 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (90307909309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003421170 + ... + 1003421259.

It is an arithmetic number, because the mean of its divisors is an integer number (13044475795).

Almost surely, 2^90307909305 is an apocalyptic number.

It is an amenable number.

90307909305 is a deficient number, since it is larger than the sum of its proper divisors (66225800235).

90307909305 is a wasteful number, since it uses less digits than its factorization.

90307909305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006842440 (or 2006842437 counting only the distinct ones).

The product of its (nonzero) digits is 229635, while the sum is 45.

The spelling of 90307909305 in words is "ninety billion, three hundred seven million, nine hundred nine thousand, three hundred five".