105352140032144 has 20 divisors (see below), whose sum is σ = 214862917171440. Its totient is φ = 49903645278240.

The previous prime is 105352140032119. The next prime is 105352140032173. The reversal of 105352140032144 is 441230041253501.

It is a super-2 number, since 2×105352140032144² (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 3 ways as a sum of consecutive naturals, for example, 173276545802 + ... + 173276546409.

It is an arithmetic number, because the mean of its divisors is an integer number (10743145858572).

Almost surely, 2^{105352140032144} is an apocalyptic number.

It is an amenable number.

105352140032144 is an abundant number, since it is smaller than the sum of its proper divisors (109510777139296).

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

105352140032144 is a wasteful number, since it uses less digits than its factorization.

105352140032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346553092238 (or 346553092232 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 105352140032144 its reverse (441230041253501), we get a palindrome (546582181285645).

The spelling of 105352140032144 in words is "one hundred five trillion, three hundred fifty-two billion, one hundred forty million, thirty-two thousand, one hundred forty-four".