90964100505 has 16 divisors (see below), whose sum is σ = 147177872640. Its totient is φ = 47969083008.

The previous prime is 90964100501. The next prime is 90964100527. The reversal of 90964100505 is 50500146909.

It is not a de Polignac number, because 90964100505 - 2² = 90964100501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90964100501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34067617 + ... + 34070286.

It is an arithmetic number, because the mean of its divisors is an integer number (9198617040).

Almost surely, 2^90964100505 is an apocalyptic number.

It is an amenable number.

90964100505 is a deficient number, since it is larger than the sum of its proper divisors (56213772135).

90964100505 is a wasteful number, since it uses less digits than its factorization.

90964100505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68138000.

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 90964100505 in words is "ninety billion, nine hundred sixty-four million, one hundred thousand, five hundred five".