105035330034144 has 96 divisors (see below), whose sum is σ = 306378891383040. Its totient is φ = 35008822912896.

The previous prime is 105035330034127. The next prime is 105035330034161. The reversal of 105035330034144 is 441430033530501.

105035330034144 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 5 + 3 + 300 + 341 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (105035330034127) and next prime (105035330034161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105035330034144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105035330034099 and 105035330034108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5130957 + ... + 15375219.

It is an arithmetic number, because the mean of its divisors is an integer number (3191446785240).

Almost surely, 2^{105035330034144} is an apocalyptic number.

It is an amenable number.

105035330034144 is an abundant number, since it is smaller than the sum of its proper divisors (201343561348896).

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

105035330034144 is a wasteful number, since it uses less digits than its factorization.

105035330034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256149 (or 10256135 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 105035330034144 its reverse (441430033530501), we get a palindrome (546465363564645).

The spelling of 105035330034144 in words is "one hundred five trillion, thirty-five billion, three hundred thirty million, thirty-four thousand, one hundred forty-four".