90105210 has 160 divisors (see below), whose sum is σ = 268329600. Its totient is φ = 21555072.

The previous prime is 90105209. The next prime is 90105241. The reversal of 90105210 is 1250109.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 452691 + ... + 452889.

It is an arithmetic number, because the mean of its divisors is an integer number (1677060).

Almost surely, 2^90105210 is an apocalyptic number.

90105210 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90105210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134164800).

90105210 is an abundant number, since it is smaller than the sum of its proper divisors (178224390).

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

90105210 is a wasteful number, since it uses less digits than its factorization.

90105210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 90105210 is about 9492.3764147868. The cubic root of 90105210 is about 448.3150320591.

Adding to 90105210 its reverse (1250109), we get a palindrome (91355319).

The spelling of 90105210 in words is "ninety million, one hundred five thousand, two hundred ten".