105344453040 has 160 divisors (see below), whose sum is σ = 330715547136. Its totient is φ = 27736688640.

The previous prime is 105344453003. The next prime is 105344453047. The reversal of 105344453040 is 40354443501.

It is a happy number.

105344453040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105344453040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105344452992 and 105344453010.

It is not an unprimeable number, because it can be changed into a prime (105344453047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8571700 + ... + 8583980.

Almost surely, 2^105344453040 is an apocalyptic number.

105344453040 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 105344453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165357773568).

105344453040 is an abundant number, since it is smaller than the sum of its proper divisors (225371094096).

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

105344453040 is a wasteful number, since it uses less digits than its factorization.

105344453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12747 (or 12741 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 105344453040 its reverse (40354443501), we get a palindrome (145698896541).

The spelling of 105344453040 in words is "one hundred five billion, three hundred forty-four million, four hundred fifty-three thousand, forty".