90105300 has 108 divisors (see below), whose sum is σ = 287911260. Its totient is φ = 23562240.

The previous prime is 90105299. The next prime is 90105307. The reversal of 90105300 is 350109.

It can be written as a sum of positive squares in 6 ways, for example, as 121104 + 89984196 = 348^2 + 9486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46756 + ... + 48644.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2^90105300 is an apocalyptic number.

90105300 is a gapful number since it is divisible by the number (90) 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 90105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143955630).

90105300 is an abundant number, since it is smaller than the sum of its proper divisors (197805960).

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

90105300 is a wasteful number, since it uses less digits than its factorization.

90105300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 90105300 is about 9492.3811554320. The cubic root of 90105300 is about 448.3151813229.

Adding to 90105300 its reverse (350109), we get a palindrome (90455409).

The spelling of 90105300 in words is "ninety million, one hundred five thousand, three hundred".