105485296225 has 27 divisors (see below), whose sum is σ = 138984964171. Its totient is φ = 79403436800.

The previous prime is 105485296219. The next prime is 105485296229. The reversal of 105485296225 is 522692584501.

The square root of 105485296225 is 324785.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3069935649 + 102415360576 = 55407^2 + 320024^2 .

It is not a de Polignac number, because 105485296225 - 2²⁵ = 105451741793 is a prime.

It is a super-2 number, since 2×105485296225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105485296229) 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, 27604815 + ... + 27608635.

Almost surely, 2^105485296225 is an apocalyptic number.

105485296225 is the 324785-th square number.

105485296225 is the 162393-rd centered octagonal number.

It is an amenable number.

105485296225 is a deficient number, since it is larger than the sum of its proper divisors (33499667946).

105485296225 is an frugal number, since it uses more digits than its factorization.

105485296225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7686 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

Multiplying 105485296225 by its sum of digits (49), we get a square (5168779515025 = 2273495²).

The spelling of 105485296225 in words is "one hundred five billion, four hundred eighty-five million, two hundred ninety-six thousand, two hundred twenty-five".