105433343040 has 112 divisors (see below), whose sum is σ = 335626057728. Its totient is φ = 28042051584.

The previous prime is 105433343017. The next prime is 105433343053. The reversal of 105433343040 is 40343334501.

It is a super-2 number, since 2×105433343040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105433342989 and 105433343007.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 224304 + ... + 511056.

Almost surely, 2^105433343040 is an apocalyptic number.

105433343040 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 105433343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167813028864).

105433343040 is an abundant number, since it is smaller than the sum of its proper divisors (230192714688).

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

105433343040 is a wasteful number, since it uses less digits than its factorization.

105433343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287156 (or 287146 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 105433343040 its reverse (40343334501), we get a palindrome (145776677541).

The spelling of 105433343040 in words is "one hundred five billion, four hundred thirty-three million, three hundred forty-three thousand, forty".