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106631106 = 23178591217
BaseRepresentation
bin1100101101100…
…00111111000010
321102122102101020
412112300333002
5204244143411
614325250310
72433230601
oct626607702
9242572336
10106631106
115521058a
122b863996
1319125b3a
1410239a38
159564606
hex65b0fc2

106631106 has 32 divisors (see below), whose sum is σ = 226255680. Its totient is φ = 33386496.

The previous prime is 106631101. The next prime is 106631117. The reversal of 106631106 is 601136601.

106631106 is a nontrivial binomial coefficient, being equal to C(14604, 2).

It is a super-2 number, since 2×1066311062 = 22740385533566472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106631101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87010 + ... + 88226.

It is an arithmetic number, because the mean of its divisors is an integer number (7070490).

Almost surely, 2106631106 is an apocalyptic number.

106631106 is the 14603-rd triangular number and also the 7302-nd hexagonal number.

106631106 is an abundant number, since it is smaller than the sum of its proper divisors (119624574).

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

106631106 is a wasteful number, since it uses less digits than its factorization.

106631106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106631106 is about 10326.2338730052. The cubic root of 106631106 is about 474.1997324505.

Adding to 106631106 its reverse (601136601), we get a palindrome (707767707).

The spelling of 106631106 in words is "one hundred six million, six hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 17 34 51 102 859 1217 1718 2434 2577 3651 5154 7302 14603 20689 29206 41378 43809 62067 87618 124134 1045403 2090806 3136209 6272418 17771851 35543702 53315553 106631106