105410434454000 has 160 divisors (see below), whose sum is σ = 277007024374080. Its totient is φ = 38563703424000.

The previous prime is 105410434453997. The next prime is 105410434454009. The reversal of 105410434454000 is 454434014501.

It is a super-2 number, since 2×105410434454000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105410434454009) 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, 15763466 + ... + 21431465.

It is an arithmetic number, because the mean of its divisors is an integer number (1731293902338).

Almost surely, 2^{105410434454000} is an apocalyptic number.

105410434454000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105410434454000 is an abundant number, since it is smaller than the sum of its proper divisors (171596589920080).

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

105410434454000 is a wasteful number, since it uses less digits than its factorization.

105410434454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37195076 (or 37195060 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 105410434454000 its reverse (454434014501), we get a palindrome (105864868468501).

The spelling of 105410434454000 in words is "one hundred five trillion, four hundred ten billion, four hundred thirty-four million, four hundred fifty-four thousand".