105243541051350 has 96 divisors (see below), whose sum is σ = 281815106678784. Its totient is φ = 25838462275200.

The previous prime is 105243541051343. The next prime is 105243541051367. The reversal of 105243541051350 is 53150145342501.

It is a super-2 number, since 2×105243541051350² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 105243541051299 and 105243541051308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69711436 + ... + 71205135.

It is an arithmetic number, because the mean of its divisors is an integer number (2935574027904).

Almost surely, 2^{105243541051350} is an apocalyptic number.

105243541051350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105243541051350 is an abundant number, since it is smaller than the sum of its proper divisors (176571565627434).

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

105243541051350 is a wasteful number, since it uses less digits than its factorization.

105243541051350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140916982 (or 140916977 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 105243541051350 its reverse (53150145342501), we get a palindrome (158393686393851).

The spelling of 105243541051350 in words is "one hundred five trillion, two hundred forty-three billion, five hundred forty-one million, fifty-one thousand, three hundred fifty".