105640304 has 80 divisors (see below), whose sum is σ = 268673280. Its totient is φ = 38983680.

The previous prime is 105640303. The next prime is 105640319. The reversal of 105640304 is 403046501.

It is a happy number.

It is a super-2 number, since 2×105640304² = 22319747658424832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105640304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105640303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21152 + ... + 25664.

It is an arithmetic number, because the mean of its divisors is an integer number (3358416).

Almost surely, 2^105640304 is an apocalyptic number.

105640304 is a gapful number since it is divisible by the number (14) 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 105640304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134336640).

105640304 is an abundant number, since it is smaller than the sum of its proper divisors (163032976).

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

105640304 is a wasteful number, since it uses less digits than its factorization.

105640304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 105640304 is about 10278.1469146924. The cubic root of 105640304 is about 472.7264261954.

Adding to 105640304 its reverse (403046501), we get a palindrome (508686805).

The spelling of 105640304 in words is "one hundred five million, six hundred forty thousand, three hundred four".