105055434120000 has 1120 divisors, whose sum is σ = 427959714454272. Its totient is φ = 22141329408000.

The previous prime is 105055434119929. The next prime is 105055434120019. The reversal of 105055434120000 is 21434550501.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×105055434120000² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105055434120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11061955252 + ... + 11061964748.

Almost surely, 2^{105055434120000} is an apocalyptic number.

105055434120000 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 105055434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213979857227136).

105055434120000 is an abundant number, since it is smaller than the sum of its proper divisors (322904280334272).

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

105055434120000 is a wasteful number, since it uses less digits than its factorization.

105055434120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105055434120000 its reverse (21434550501), we get a palindrome (105076868670501).

The spelling of 105055434120000 in words is "one hundred five trillion, fifty-five billion, four hundred thirty-four million, one hundred twenty thousand".