105342104234000 has 80 divisors (see below), whose sum is σ = 254726810297856. Its totient is φ = 42135253232000.

The previous prime is 105342104233973. The next prime is 105342104234093. The reversal of 105342104234000 is 432401243501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105342104234000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52802657 + ... + 54761343.

Almost surely, 2^{105342104234000} is an apocalyptic number.

105342104234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105342104234000 is an abundant number, since it is smaller than the sum of its proper divisors (149384706063856).

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

105342104234000 is a wasteful number, since it uses less digits than its factorization.

105342104234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985601 (or 1985585 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 105342104234000 its reverse (432401243501), we get a palindrome (105774505477501).

The spelling of 105342104234000 in words is "one hundred five trillion, three hundred forty-two billion, one hundred four million, two hundred thirty-four thousand".