105781225 has 45 divisors (see below), whose sum is σ = 153271285. Its totient is φ = 72406400.

The previous prime is 105781219. The next prime is 105781289. The reversal of 105781225 is 522187501.

The square root of 105781225 is 10285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2474329 + 103306896 = 1573^2 + 10164^2 .

It is not a de Polignac number, because 105781225 - 2¹³ = 105773033 is a prime.

It is a super-2 number, since 2×105781225² = 22379335125001250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6222417 + ... + 6222433.

Almost surely, 2^105781225 is an apocalyptic number.

105781225 is the 10285-th square number.

105781225 is the 5143-rd centered octagonal number.

It is an amenable number.

105781225 is a deficient number, since it is larger than the sum of its proper divisors (47490060).

105781225 is an frugal number, since it uses more digits than its factorization.

105781225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The cubic root of 105781225 is about 472.9365337597.

The spelling of 105781225 in words is "one hundred five million, seven hundred eighty-one thousand, two hundred twenty-five".