105344000 has 88 divisors (see below), whose sum is σ = 263129568. Its totient is φ = 42086400.

The previous prime is 105343993. The next prime is 105344003. The reversal of 105344000 is 443501.

It is a super-2 number, since 2×105344000² = 22194716672000000, 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 105344000.

It is not an unprimeable number, because it can be changed into a prime (105344003) 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, 127589 + ... + 128411.

Almost surely, 2^105344000 is an apocalyptic number.

105344000 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 105344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131564784).

105344000 is an abundant number, since it is smaller than the sum of its proper divisors (157785568).

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

105344000 is an frugal number, since it uses more digits than its factorization.

105344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 105344000 is about 10263.7225215806. The cubic root of 105344000 is about 472.2840385563.

Adding to 105344000 its reverse (443501), we get a palindrome (105787501).

The spelling of 105344000 in words is "one hundred five million, three hundred forty-four thousand".