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106322706 = 235731253
BaseRepresentation
bin1100101011001…
…01101100010010
321102001202100000
412111211230102
5204204311311
614314510430
72430504510
oct625455422
9242052300
10106322706
115501a906
122b735416
1319048659
14101994b0
159503056
hex6565b12

106322706 has 48 divisors (see below), whose sum is σ = 273034944. Its totient is φ = 30376944.

The previous prime is 106322683. The next prime is 106322707. The reversal of 106322706 is 607223601.

It is a happy number.

106322706 is a `hidden beast` number, since 1 + 0 + 632 + 27 + 0 + 6 = 666.

It is a super-2 number, since 2×1063227062 = 22609035622324872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106322706.

It is not an unprimeable number, because it can be changed into a prime (106322707) 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 23 ways as a sum of consecutive naturals, for example, 12225 + ... + 19028.

It is an arithmetic number, because the mean of its divisors is an integer number (5688228).

Almost surely, 2106322706 is an apocalyptic number.

106322706 is an abundant number, since it is smaller than the sum of its proper divisors (166712238).

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

106322706 is an equidigital number, since it uses as much as digits as its factorization.

106322706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31277 (or 31265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106322706 is about 10311.2902199482. The cubic root of 106322706 is about 473.7421286022.

The spelling of 106322706 in words is "one hundred six million, three hundred twenty-two thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 31253 62506 93759 187518 218771 281277 437542 562554 656313 843831 1312626 1687662 1968939 2531493 3937878 5062986 5906817 7594479 11813634 15188958 17720451 35440902 53161353 106322706