105532533440000 has 200 divisors, whose sum is σ = 263525705436840. Its totient is φ = 42207187968000.

The previous prime is 105532533439979. The next prime is 105532533440021. The reversal of 105532533440000 is 44335235501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105532533439979) and next prime (105532533440021).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×105532533440000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2893741766 + ... + 2893778234.

Almost surely, 2^{105532533440000} is an apocalyptic number.

105532533440000 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 105532533440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131762852718420).

105532533440000 is an abundant number, since it is smaller than the sum of its proper divisors (157993171996840).

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

105532533440000 is an frugal number, since it uses more digits than its factorization.

105532533440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45550 (or 45519 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 105532533440000 its reverse (44335235501), we get a palindrome (105576868675501).

The spelling of 105532533440000 in words is "one hundred five trillion, five hundred thirty-two billion, five hundred thirty-three million, four hundred forty thousand".