105198226882560 has 3600 divisors, whose sum is σ = 461832932800512. Its totient is φ = 22941912268800.

The previous prime is 105198226882517. The next prime is 105198226882711. The reversal of 105198226882560 is 65288622891501.

It is a happy number.

105198226882560 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 9 + 8 + 2 + 2 + 68 + 8 + 2 + 560 = 666.

It is a super-2 number, since 2×105198226882560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1481665167325 + ... + 1481665167395.

Almost surely, 2^{105198226882560} is an apocalyptic number.

105198226882560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105198226882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230916466400256).

105198226882560 is an abundant number, since it is smaller than the sum of its proper divisors (356634705917952).

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

105198226882560 is an frugal number, since it uses more digits than its factorization.

105198226882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 105198226882560 in words is "one hundred five trillion, one hundred ninety-eight billion, two hundred twenty-six million, eight hundred eighty-two thousand, five hundred sixty".