105442252344 has 384 divisors, whose sum is σ = 367500369600. Its totient is φ = 26800865280.

The previous prime is 105442252309. The next prime is 105442252367. The reversal of 105442252344 is 443252244501.

105442252344 is a `hidden beast` number, since 1 + 0 + 54 + 42 + 2 + 523 + 44 = 666.

It is a super-2 number, since 2×105442252344² (a number of 23 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 = 105442252299 and 105442252308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5065542 + ... + 5086314.

Almost surely, 2^105442252344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105442252344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183750184800).

105442252344 is an abundant number, since it is smaller than the sum of its proper divisors (262058117256).

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

105442252344 is a wasteful number, since it uses less digits than its factorization.

105442252344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20855 (or 20848 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 105442252344 its reverse (443252244501), we get a palindrome (548694496845).

The spelling of 105442252344 in words is "one hundred five billion, four hundred forty-two million, two hundred fifty-two thousand, three hundred forty-four".