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106112837 = 5371163173
BaseRepresentation
bin1100101001100…
…10011101000101
321101200002110002
412110302131011
5204131102322
614310211045
72425641605
oct624623505
9241602402
10106112837
1154997166
122b653a85
1318ca3c7c
1410142c05
1594b0c92
hex6532745

106112837 has 16 divisors (see below), whose sum is σ = 110947968. Its totient is φ = 101424960.

The previous prime is 106112833. The next prime is 106112843. The reversal of 106112837 is 738211601.

It is a cyclic number.

It is not a de Polignac number, because 106112837 - 22 = 106112833 is a prime.

It is a super-2 number, since 2×1061128372 = 22519868352377138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106112833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613283 + ... + 613455.

It is an arithmetic number, because the mean of its divisors is an integer number (6934248).

Almost surely, 2106112837 is an apocalyptic number.

It is an amenable number.

106112837 is a deficient number, since it is larger than the sum of its proper divisors (4835131).

106112837 is a wasteful number, since it uses less digits than its factorization.

106112837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 106112837 is about 10301.1085325804. The cubic root of 106112837 is about 473.4302188215.

The spelling of 106112837 in words is "one hundred six million, one hundred twelve thousand, eight hundred thirty-seven".

Divisors: 1 53 71 163 173 3763 8639 9169 11573 12283 28199 613369 650999 1494547 2002129 106112837