105414351042 has 256 divisors, whose sum is σ = 298130595840. Its totient is φ = 23950080000.

The previous prime is 105414351017. The next prime is 105414351073. The reversal of 105414351042 is 240153414501.

It is a super-2 number, since 2×105414351042² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15053542 + ... + 15060542.

It is an arithmetic number, because the mean of its divisors is an integer number (1164572640).

Almost surely, 2^105414351042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105414351042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149065297920).

105414351042 is an abundant number, since it is smaller than the sum of its proper divisors (192716244798).

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

105414351042 is a wasteful number, since it uses less digits than its factorization.

105414351042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 105414351042 its reverse (240153414501), we get a palindrome (345567765543).

The spelling of 105414351042 in words is "one hundred five billion, four hundred fourteen million, three hundred fifty-one thousand, forty-two".