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106709289 = 31715713327
BaseRepresentation
bin1100101110001…
…00000100101001
321102210101121220
412113010010221
5204304144124
614331052253
72434004541
oct627040451
9242711556
10106709289
11552642a5
122b8a1089
13191525bb
141025a321
15957c879
hex65c4129

106709289 has 16 divisors (see below), whose sum is σ = 151619328. Its totient is φ = 66523392.

The previous prime is 106709279. The next prime is 106709293. The reversal of 106709289 is 982907601.

It is not a de Polignac number, because 106709289 - 213 = 106701097 is a prime.

It is a super-2 number, since 2×1067092892 = 22773744717771042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106709289.

It is not an unprimeable number, because it can be changed into a prime (106709249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344 + ... + 14670.

It is an arithmetic number, because the mean of its divisors is an integer number (9476208).

Almost surely, 2106709289 is an apocalyptic number.

It is an amenable number.

106709289 is a deficient number, since it is larger than the sum of its proper divisors (44910039).

106709289 is a wasteful number, since it uses less digits than its factorization.

106709289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 106709289 is about 10330.0188286372. The cubic root of 106709289 is about 474.3156001419.

The spelling of 106709289 in words is "one hundred six million, seven hundred nine thousand, two hundred eighty-nine".

Divisors: 1 3 17 51 157 471 2669 8007 13327 39981 226559 679677 2092339 6277017 35569763 106709289