105353144 has 32 divisors (see below), whose sum is σ = 213785040. Its totient is φ = 48384000.

The previous prime is 105353141. The next prime is 105353167. The reversal of 105353144 is 441353501.

It is a super-2 number, since 2×105353144² = 22198569901369472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19544 + ... + 24344.

Almost surely, 2^105353144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106892520).

105353144 is an abundant number, since it is smaller than the sum of its proper divisors (108431896).

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

105353144 is a wasteful number, since it uses less digits than its factorization.

105353144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 105353144 is about 10264.1679643311. The cubic root of 105353144 is about 472.2977031229.

It can be divided in two parts, 1053531 and 44, that multiplied together give a palindrome (46355364).

The spelling of 105353144 in words is "one hundred five million, three hundred fifty-three thousand, one hundred forty-four".