105344140 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 36115200.

The previous prime is 105344123. The next prime is 105344147. The reversal of 105344140 is 41443501.

It is a super-2 number, since 2×105344140² = 22194775664679200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (105344147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551445 + ... + 551635.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^105344140 is an apocalyptic number.

105344140 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 105344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

105344140 is an abundant number, since it is smaller than the sum of its proper divisors (150123380).

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

105344140 is a wasteful number, since it uses less digits than its factorization.

105344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 105344140 is about 10263.7293417159. The cubic root of 105344140 is about 472.2842477748.

Adding to 105344140 its reverse (41443501), we get a palindrome (146787641).

The spelling of 105344140 in words is "one hundred five million, three hundred forty-four thousand, one hundred forty".