90100896 has 48 divisors (see below), whose sum is σ = 238140000. Its totient is φ = 29827328.

The previous prime is 90100891. The next prime is 90100909. The reversal of 90100896 is 69800109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (90100891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11155 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (4961250).

Almost surely, 2^90100896 is an apocalyptic number.

90100896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119070000).

90100896 is an abundant number, since it is smaller than the sum of its proper divisors (148039104).

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

90100896 is a wasteful number, since it uses less digits than its factorization.

90100896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 90100896 is about 9492.1491770831. The cubic root of 90100896 is about 448.3078772309.

The spelling of 90100896 in words is "ninety million, one hundred thousand, eight hundred ninety-six".