105433240000 has 280 divisors, whose sum is σ = 288743672448. Its totient is φ = 37864320000.

The previous prime is 105433239971. The next prime is 105433240001. The reversal of 105433240000 is 42334501.

It is a super-2 number, since 2×105433240000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105433240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36518557 + ... + 36521443.

Almost surely, 2^105433240000 is an apocalyptic number.

105433240000 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 105433240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144371836224).

105433240000 is an abundant number, since it is smaller than the sum of its proper divisors (183310432448).

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

105433240000 is an equidigital number, since it uses as much as digits as its factorization.

105433240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 105433240000 its reverse (42334501), we get a palindrome (105475574501).

The spelling of 105433240000 in words is "one hundred five billion, four hundred thirty-three million, two hundred forty thousand".