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106116039 = 3279149249
BaseRepresentation
bin1100101001100…
…11001111000111
321101200020211200
412110303033013
5204131203124
614310233543
72425654131
oct624631707
9241606750
10106116039
1154999607
122b6558b3
1318ca5573
1410144051
1594b1bc9
hex65333c7

106116039 has 12 divisors (see below), whose sum is σ = 155220000. Its totient is φ = 69848064.

The previous prime is 106115987. The next prime is 106116047. The reversal of 106116039 is 930611601.

106116039 is a `hidden beast` number, since 10 + 611 + 6 + 0 + 39 = 666.

It is a de Polignac number, because none of the positive numbers 2k-106116039 is a prime.

It is a super-2 number, since 2×1061160392 = 22521227466099042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106116139) 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, 73914 + ... + 75335.

It is an arithmetic number, because the mean of its divisors is an integer number (12935000).

Almost surely, 2106116039 is an apocalyptic number.

106116039 is a deficient number, since it is larger than the sum of its proper divisors (49103961).

106116039 is a wasteful number, since it uses less digits than its factorization.

106116039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149334 (or 149331 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106116039 is about 10301.2639515741. The cubic root of 106116039 is about 473.4349807597.

The spelling of 106116039 in words is "one hundred six million, one hundred sixteen thousand, thirty-nine".

Divisors: 1 3 9 79 237 711 149249 447747 1343241 11790671 35372013 106116039