Search a number
-
+
105444225 = 3252468641
BaseRepresentation
bin1100100100011…
…11001110000001
321100102010021200
412102033032001
5203443203400
614244011413
72420155365
oct622171601
9240363250
10105444225
115457a897
122b390b69
1318acb843
141000b2a5
1593ccb00
hex648f381

105444225 has 18 divisors (see below), whose sum is σ = 188862726. Its totient is φ = 56236800.

The previous prime is 105444221. The next prime is 105444233. The reversal of 105444225 is 522444501.

It can be written as a sum of positive squares in 3 ways, for example, as 26749584 + 78694641 = 5172^2 + 8871^2 .

It is not a de Polignac number, because 105444225 - 22 = 105444221 is a prime.

It is a super-2 number, since 2×1054442252 = 22236969171701250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105444221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 234096 + ... + 234545.

Almost surely, 2105444225 is an apocalyptic number.

105444225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105444225 is a deficient number, since it is larger than the sum of its proper divisors (83418501).

105444225 is a wasteful number, since it uses less digits than its factorization.

105444225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468657 (or 468649 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 105444225 is about 10268.6038486252. The cubic root of 105444225 is about 472.4337691664.

Adding to 105444225 its reverse (522444501), we get a palindrome (627888726).

The spelling of 105444225 in words is "one hundred five million, four hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 468641 1405923 2343205 4217769 7029615 11716025 21088845 35148075 105444225