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106313166 = 23234717021
BaseRepresentation
bin1100101011000…
…11010111001110
321102001021020200
412111203113032
5204204010131
614314354330
72430434631
oct625432716
9242037220
10106313166
1155013723
122b72b9a6
13190441cb
1410195c18
1595002e6
hex65635ce

106313166 has 24 divisors (see below), whose sum is σ = 231022584. Its totient is φ = 35333520.

The previous prime is 106313161. The next prime is 106313197. The reversal of 106313166 is 661313601.

It is a happy number.

106313166 is a `hidden beast` number, since 10 + 631 + 3 + 16 + 6 = 666.

It is a super-2 number, since 2×1063131662 = 22604978529887112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106313161) 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, 2265 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (9625941).

Almost surely, 2106313166 is an apocalyptic number.

106313166 is an abundant number, since it is smaller than the sum of its proper divisors (124709418).

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

106313166 is a wasteful number, since it uses less digits than its factorization.

106313166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106313166 is about 10310.8276098478. The cubic root of 106313166 is about 473.7279590510.

Adding to 106313166 its reverse (661313601), we get a palindrome (767626767).

The spelling of 106313166 in words is "one hundred six million, three hundred thirteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 347 694 1041 2082 3123 6246 17021 34042 51063 102126 153189 306378 5906287 11812574 17718861 35437722 53156583 106313166