105445480882225 has 63 divisors (see below), whose sum is σ = 143920901933211. Its totient is φ = 76637922121200.

The previous prime is 105445480882171. The next prime is 105445480882229. The reversal of 105445480882225 is 522288084544501.

The square root of 105445480882225 is 10268665.

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., 37960373117601 + 67485107764624 = 6161199^2 + 8214932^2 .

It is not a de Polignac number, because 105445480882225 - 2¹³ = 105445480874033 is a prime.

It is a super-2 number, since 2×105445480882225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105445480882225.

It is not an unprimeable number, because it can be changed into a prime (105445480882229) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 68337964804 + ... + 68337966346.

Almost surely, 2^{105445480882225} is an apocalyptic number.

105445480882225 is the 10268665-th square number.

105445480882225 is the 5134333-rd centered octagonal number.

It is an amenable number.

105445480882225 is a deficient number, since it is larger than the sum of its proper divisors (38475421050986).

105445480882225 is an frugal number, since it uses more digits than its factorization.

105445480882225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 32768000, while the sum is 58.

The spelling of 105445480882225 in words is "one hundred five trillion, four hundred forty-five billion, four hundred eighty million, eight hundred eighty-two thousand, two hundred twenty-five".