105110433200000 has 192 divisors, whose sum is σ = 261857920489200. Its totient is φ = 42024084480000.

The previous prime is 105110433199901. The next prime is 105110433200011. The reversal of 105110433200000 is 2334011501.

It is a super-2 number, since 2×105110433200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851538287 + ... + 851661713.

Almost surely, 2^{105110433200000} is an apocalyptic number.

105110433200000 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 105110433200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130928960244600).

105110433200000 is an abundant number, since it is smaller than the sum of its proper divisors (156747487289200).

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

105110433200000 is an frugal number, since it uses more digits than its factorization.

105110433200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125595 (or 125563 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 105110433200000 its reverse (2334011501), we get a palindrome (105112767211501).

The spelling of 105110433200000 in words is "one hundred five trillion, one hundred ten billion, four hundred thirty-three million, two hundred thousand".