90105048 has 80 divisors (see below), whose sum is σ = 275342760. Its totient is φ = 27302400.

The previous prime is 90105023. The next prime is 90105077. The reversal of 90105048 is 84050109.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 808 + ... + 13448.

Almost surely, 2^90105048 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 90105048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137671380).

90105048 is an abundant number, since it is smaller than the sum of its proper divisors (185237712).

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

90105048 is a wasteful number, since it uses less digits than its factorization.

90105048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12670 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90105048 is about 9492.3678816194. The cubic root of 90105048 is about 448.3147633840.

The spelling of 90105048 in words is "ninety million, one hundred five thousand, forty-eight".