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105246261 = 3297120557
BaseRepresentation
bin1100100010111…
…10111000110101
321100001001201200
412101132320311
5203420340021
614235443113
72415402261
oct621367065
9240031650
10105246261
115445508a
122b2b6499
1318a5c6c3
14dd990a1
15938e126
hex645ee35

105246261 has 12 divisors (see below), whose sum is σ = 153590892. Its totient is φ = 69440256.

The previous prime is 105246227. The next prime is 105246283. The reversal of 105246261 is 162642501.

105246261 is a `hidden beast` number, since 10 + 5 + 24 + 626 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80892036 + 24354225 = 8994^2 + 4935^2 .

It is not a de Polignac number, because 105246261 - 213 = 105238069 is a prime.

It is a super-2 number, since 2×1052462612 = 22153550908960242, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105246061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59406 + ... + 61151.

It is an arithmetic number, because the mean of its divisors is an integer number (12799241).

Almost surely, 2105246261 is an apocalyptic number.

It is an amenable number.

105246261 is a deficient number, since it is larger than the sum of its proper divisors (48344631).

105246261 is a wasteful number, since it uses less digits than its factorization.

105246261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120660 (or 120657 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105246261 is about 10258.9600350133. The cubic root of 105246261 is about 472.1379303993.

Adding to 105246261 its reverse (162642501), we get a palindrome (267888762).

The spelling of 105246261 in words is "one hundred five million, two hundred forty-six thousand, two hundred sixty-one".

Divisors: 1 3 9 97 291 873 120557 361671 1085013 11694029 35082087 105246261