105431420510442 has 96 divisors (see below), whose sum is σ = 254621458990080. Its totient is φ = 31305576919680.

The previous prime is 105431420510411. The next prime is 105431420510447. The reversal of 105431420510442 is 244015024134501.

105431420510442 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 1 + 4 + 205 + 1 + 0 + 442 = 666.

It is a super-2 number, since 2×105431420510442² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105431420510397 and 105431420510406.

It is not an unprimeable number, because it can be changed into a prime (105431420510447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9080823 + ... + 17126709.

It is an arithmetic number, because the mean of its divisors is an integer number (2652306864480).

Almost surely, 2^{105431420510442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105431420510442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127310729495040).

105431420510442 is an abundant number, since it is smaller than the sum of its proper divisors (149190038479638).

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

105431420510442 is a wasteful number, since it uses less digits than its factorization.

105431420510442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047868 (or 8047865 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 105431420510442 its reverse (244015024134501), we get a palindrome (349446444644943).

The spelling of 105431420510442 in words is "one hundred five trillion, four hundred thirty-one billion, four hundred twenty million, five hundred ten thousand, four hundred forty-two".