105433565104 has 160 divisors (see below), whose sum is σ = 254018027520. Its totient is φ = 41398511616.

The previous prime is 105433565101. The next prime is 105433565117. The reversal of 105433565104 is 401565334501.

It is a super-2 number, since 2×105433565104² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105433565101) 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, 9481852 + ... + 9492964.

It is an arithmetic number, because the mean of its divisors is an integer number (1587612672).

Almost surely, 2^105433565104 is an apocalyptic number.

105433565104 is a gapful number since it is divisible by the number (14) 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 105433565104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127009013760).

105433565104 is an abundant number, since it is smaller than the sum of its proper divisors (148584462416).

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

105433565104 is a wasteful number, since it uses less digits than its factorization.

105433565104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 105433565104 its reverse (401565334501), we get a palindrome (506998899605).

The spelling of 105433565104 in words is "one hundred five billion, four hundred thirty-three million, five hundred sixty-five thousand, one hundred four".