105302340 has 144 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 23558400.

The previous prime is 105302317. The next prime is 105302341. The reversal of 105302340 is 43203501.

It is a super-2 number, since 2×105302340² = 22177165618951200, 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 (105302341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23695 + ... + 27785.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^105302340 is an apocalyptic number.

105302340 is a gapful number since it is divisible by the number (10) 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 105302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

105302340 is an abundant number, since it is smaller than the sum of its proper divisors (270048636).

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

105302340 is a wasteful number, since it uses less digits than its factorization.

105302340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105302340 is about 10261.6928428013. The cubic root of 105302340 is about 472.2217728767.

Adding to 105302340 its reverse (43203501), we get a palindrome (148505841).

The spelling of 105302340 in words is "one hundred five million, three hundred two thousand, three hundred forty".