105245214441198 has 128 divisors (see below), whose sum is σ = 236507592781824. Its totient is φ = 31002202828800.

The previous prime is 105245214441197. The next prime is 105245214441203. The reversal of 105245214441198 is 891144412542501.

It is a super-2 number, since 2×105245214441198² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105245214441198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105245214441197) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556013940 + ... + 556203192.

It is an arithmetic number, because the mean of its divisors is an integer number (1847715568608).

Almost surely, 2^{105245214441198} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105245214441198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118253796390912).

105245214441198 is an abundant number, since it is smaller than the sum of its proper divisors (131262378340626).

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

105245214441198 is a wasteful number, since it uses less digits than its factorization.

105245214441198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191770.

The product of its (nonzero) digits is 1843200, while the sum is 51.

Adding to 105245214441198 its reverse (891144412542501), we get a palindrome (996389626983699).

The spelling of 105245214441198 in words is "one hundred five trillion, two hundred forty-five billion, two hundred fourteen million, four hundred forty-one thousand, one hundred ninety-eight".