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106166116 = 2273791647
BaseRepresentation
bin1100101001111…
…11011101100100
321101202210112101
412110333131210
5204134303431
614311301444
72426253130
oct624773544
9241683471
10106166116
1154a231a1
122b67a884
1318cc22b4
14101583c0
1594c1961
hex653f764

106166116 has 12 divisors (see below), whose sum is σ = 212332288. Its totient is φ = 45499752.

The previous prime is 106166113. The next prime is 106166119. The reversal of 106166116 is 611661601.

It is an interprime number because it is at equal distance from previous prime (106166113) and next prime (106166119).

106166116 is an admirable number.

It is a super-2 number, since 2×1061661162 = 22542488373050912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3791647 = 106166116 / (1 + 0 + 6 + 1 + 6 + 6 + 1 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (106166111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1895796 + ... + 1895851.

Almost surely, 2106166116 is an apocalyptic number.

It is an amenable number.

106166116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106166116 is a wasteful number, since it uses less digits than its factorization.

106166116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791658 (or 3791656 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 106166116 is about 10303.6942889432. The cubic root of 106166116 is about 473.5094416215.

The spelling of 106166116 in words is "one hundred six million, one hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 3791647 7583294 15166588 26541529 53083058 106166116