105420411041244 has 192 divisors, whose sum is σ = 283952242452480. Its totient is φ = 30181658158080.

The previous prime is 105420411041237. The next prime is 105420411041263. The reversal of 105420411041244 is 442140114024501.

It is a super-2 number, since 2×105420411041244² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631702374 + ... + 631869234.

It is an arithmetic number, because the mean of its divisors is an integer number (1478917929440).

Almost surely, 2^{105420411041244} 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 105420411041244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141976121226240).

105420411041244 is an abundant number, since it is smaller than the sum of its proper divisors (178531831411236).

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

105420411041244 is a wasteful number, since it uses less digits than its factorization.

105420411041244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171700 (or 171698 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

Adding to 105420411041244 its reverse (442140114024501), we get a palindrome (547560525065745).

The spelling of 105420411041244 in words is "one hundred five trillion, four hundred twenty billion, four hundred eleven million, forty-one thousand, two hundred forty-four".