90105916949 has 8 divisors (see below), whose sum is σ = 94029951552. Its totient is φ = 86182414560.

The previous prime is 90105916921. The next prime is 90105916981. The reversal of 90105916949 is 94961950109.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90105916949 - 2²⁸ = 89837481493 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90105916949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105916249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234569 + ... + 485009.

It is an arithmetic number, because the mean of its divisors is an integer number (11753743944).

Almost surely, 2^90105916949 is an apocalyptic number.

It is an amenable number.

90105916949 is a deficient number, since it is larger than the sum of its proper divisors (3924034603).

90105916949 is a wasteful number, since it uses less digits than its factorization.

90105916949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266107.

The product of its (nonzero) digits is 787320, while the sum is 53.

The spelling of 90105916949 in words is "ninety billion, one hundred five million, nine hundred sixteen thousand, nine hundred forty-nine".