90105296 has 80 divisors (see below), whose sum is σ = 192815040. Its totient is φ = 40642560.

The previous prime is 90105289. The next prime is 90105299. The reversal of 90105296 is 69250109.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797336 + ... + 797448.

It is an arithmetic number, because the mean of its divisors is an integer number (2410188).

Almost surely, 2^90105296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90105296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96407520).

90105296 is an abundant number, since it is smaller than the sum of its proper divisors (102709744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90105296 is a wasteful number, since it uses less digits than its factorization.

90105296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 90105296 is about 9492.3809447367. The cubic root of 90105296 is about 448.3151746890.

The spelling of 90105296 in words is "ninety million, one hundred five thousand, two hundred ninety-six".