105228410448100 has 81 divisors (see below), whose sum is σ = 230523712215433. Its totient is φ = 41693637513760.

The previous prime is 105228410448011. The next prime is 105228410448103. The reversal of 105228410448100 is 1844014822501.

The square root of 105228410448100 is 10258090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37882227761316 + 67346182686784 = 6154854^2 + 8206472^2 .

It is a super-2 number, since 2×105228410448100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105228410448103) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10976151507 + ... + 10976161093.

Almost surely, 2^{105228410448100} is an apocalyptic number.

105228410448100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105228410448100 is the 10258090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105228410448100

105228410448100 is an abundant number, since it is smaller than the sum of its proper divisors (125295301767333).

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

105228410448100 is an frugal number, since it uses more digits than its factorization.

105228410448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19402 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 105228410448100 in words is "one hundred five trillion, two hundred twenty-eight billion, four hundred ten million, four hundred forty-eight thousand, one hundred".