105141343020240 has 160 divisors (see below), whose sum is σ = 334744350883200. Its totient is φ = 27289580185600.

The previous prime is 105141343020227. The next prime is 105141343020313. The reversal of 105141343020240 is 42020343141501.

It is a super-2 number, since 2×105141343020240² (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 junction number, because it is equal to n+sod(n) for n = 105141343020198 and 105141343020207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35328435 + ... + 38188754.

It is an arithmetic number, because the mean of its divisors is an integer number (2092152193020).

Almost surely, 2^{105141343020240} is an apocalyptic number.

105141343020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105141343020240 is an abundant number, since it is smaller than the sum of its proper divisors (229603007862960).

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

105141343020240 is a wasteful number, since it uses less digits than its factorization.

105141343020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73517365 (or 73517359 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 105141343020240 its reverse (42020343141501), we get a palindrome (147161686161741).

The spelling of 105141343020240 in words is "one hundred five trillion, one hundred forty-one billion, three hundred forty-three million, twenty thousand, two hundred forty".