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106865213 = 71317371867
BaseRepresentation
bin1100101111010…
…10001000111101
321110002022111212
412113222020331
5204324141323
614334254205
72435224250
oct627521075
9243068455
10106865213
1155360464
122b957365
13191a8570
141029b097
1595adb78
hex65ea23d

106865213 has 32 divisors (see below), whose sum is σ = 143103744. Its totient is φ = 77386752.

The previous prime is 106865207. The next prime is 106865221. The reversal of 106865213 is 312568601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106865213 - 24 = 106865197 is a prime.

It is a super-2 number, since 2×1068652132 = 22840347499070738, 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 106865213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106865273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56306 + ... + 58172.

It is an arithmetic number, because the mean of its divisors is an integer number (4471992).

Almost surely, 2106865213 is an apocalyptic number.

106865213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106865213 is a deficient number, since it is larger than the sum of its proper divisors (36238531).

106865213 is a wasteful number, since it uses less digits than its factorization.

106865213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 106865213 is about 10337.5632041599. The cubic root of 106865213 is about 474.5465116004.

The spelling of 106865213 in words is "one hundred six million, eight hundred sixty-five thousand, two hundred thirteen".

Divisors: 1 7 13 17 37 91 119 221 259 481 629 1547 1867 3367 4403 8177 13069 24271 31739 57239 69079 169897 222173 412607 483553 898027 1174343 2888249 6286189 8220401 15266459 106865213