90103872 has 56 divisors (see below), whose sum is σ = 239166400. Its totient is φ = 29938176.

The previous prime is 90103861. The next prime is 90103873. The reversal of 90103872 is 27830109.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (90103873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83754 + ... + 84822.

Almost surely, 2^90103872 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 90103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119583200).

90103872 is an abundant number, since it is smaller than the sum of its proper divisors (149062528).

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

90103872 is a wasteful number, since it uses less digits than its factorization.

90103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 90103872 is about 9492.3059369154. The cubic root of 90103872 is about 448.3128129922.

The spelling of 90103872 in words is "ninety million, one hundred three thousand, eight hundred seventy-two".