105311304 has 96 divisors (see below), whose sum is σ = 327774720. Its totient is φ = 29922048.

The previous prime is 105311303. The next prime is 105311351. The reversal of 105311304 is 403113501.

105311304 is a `hidden beast` number, since 1 + 0 + 531 + 130 + 4 = 666.

It is a super-2 number, since 2×105311304² = 22180941500360832, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105311303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111924 + ... + 112860.

It is an arithmetic number, because the mean of its divisors is an integer number (3414320).

Almost surely, 2^105311304 is an apocalyptic number.

105311304 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 105311304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163887360).

105311304 is an abundant number, since it is smaller than the sum of its proper divisors (222463416).

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

105311304 is a wasteful number, since it uses less digits than its factorization.

105311304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105311304 is about 10262.1296035472. The cubic root of 105311304 is about 472.2351719960.

Adding to 105311304 its reverse (403113501), we get a palindrome (508424805).

The spelling of 105311304 in words is "one hundred five million, three hundred eleven thousand, three hundred four".