105082947225 has 27 divisors (see below), whose sum is σ = 188223943999. Its totient is φ = 56041645200.

The previous prime is 105082947223. The next prime is 105082947251. The reversal of 105082947225 is 522749280501.

The square root of 105082947225 is 324165.

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., 37829861001 + 67253086224 = 194499^2 + 259332^2 .

It is not a de Polignac number, because 105082947225 - 2¹ = 105082947223 is a prime.

It is a super-2 number, since 2×105082947225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105082947223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4851670 + ... + 4873280.

Almost surely, 2^105082947225 is an apocalyptic number.

105082947225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105082947225 is the 324165-th square number.

105082947225 is the 162083-rd centered octagonal number.

It is an amenable number.

105082947225 is a deficient number, since it is larger than the sum of its proper divisors (83140996774).

105082947225 is an frugal number, since it uses more digits than its factorization.

105082947225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43238 (or 21619 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 105082947225 in words is "one hundred five billion, eighty-two million, nine hundred forty-seven thousand, two hundred twenty-five".