105323631041124 has 18 divisors (see below), whose sum is σ = 266234734020710. Its totient is φ = 35107877013696.

The previous prime is 105323631041099. The next prime is 105323631041129. The reversal of 105323631041124 is 421140136323501.

105323631041124 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 3 + 631 + 0 + 4 + 1 + 12 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79661301401124 + 25662329640000 = 8925318^2 + 5065800^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105323631041124² (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), and also a Moran number because the ratio is a prime number: 2925656417809 = 105323631041124 / (1 + 0 + 5 + 3 + 2 + 3 + 6 + 3 + 1 + 0 + 4 + 1 + 1 + 2 + 4).

It is not an unprimeable number, because it can be changed into a prime (105323631041129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1462828208869 + ... + 1462828208940.

Almost surely, 2^{105323631041124} is an apocalyptic number.

It is an amenable number.

105323631041124 is an abundant number, since it is smaller than the sum of its proper divisors (160911102979586).

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

105323631041124 is a wasteful number, since it uses less digits than its factorization.

105323631041124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925656417819 (or 2925656417814 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 105323631041124 its reverse (421140136323501), we get a palindrome (526463767364625).

The spelling of 105323631041124 in words is "one hundred five trillion, three hundred twenty-three billion, six hundred thirty-one million, forty-one thousand, one hundred twenty-four".