Search a number
-
+
106541586 = 2325918977
BaseRepresentation
bin1100101100110…
…11001000010010
321102110212120200
412112123020102
5204233312321
614323320030
72432405604
oct626331022
9242425520
10106541586
115515a2a8
122b820016
13190c4178
1410215174
159547d26
hex659b212

106541586 has 12 divisors (see below), whose sum is σ = 230840142. Its totient is φ = 35513856.

The previous prime is 106541581. The next prime is 106541593. The reversal of 106541586 is 685145601.

106541586 is a `hidden beast` number, since 10 + 65 + 4 + 1 + 586 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57471561 + 49070025 = 7581^2 + 7005^2 .

It is a super-2 number, since 2×1065415862 = 22702219094790792, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106541586.

It is not an unprimeable number, because it can be changed into a prime (106541581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2959471 + ... + 2959506.

Almost surely, 2106541586 is an apocalyptic number.

106541586 is an abundant number, since it is smaller than the sum of its proper divisors (124298556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106541586 is a wasteful number, since it uses less digits than its factorization.

106541586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918985 (or 5918982 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 106541586 is about 10321.8983719081. The cubic root of 106541586 is about 474.0669936821.

The spelling of 106541586 in words is "one hundred six million, five hundred forty-one thousand, five hundred eighty-six".

Divisors: 1 2 3 6 9 18 5918977 11837954 17756931 35513862 53270793 106541586