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106591113 = 3331347367
BaseRepresentation
bin1100101101001…
…11001110001001
321102120101112000
412112213032021
5204241403423
614324341213
72433003156
oct626471611
9242511460
10106591113
1155193532
122b844809
1319110885
141022922d
159557843
hex65a7389

106591113 has 32 divisors (see below), whose sum is σ = 163921920. Its totient is φ = 68383440.

The previous prime is 106591087. The next prime is 106591127. The reversal of 106591113 is 311195601.

106591113 is a `hidden beast` number, since 1 + 0 + 659 + 1 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 106591113 - 210 = 106590089 is a prime.

It is a super-2 number, since 2×1065911132 = 22723330741157538, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106591183) 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, 290256 + ... + 290622.

It is an arithmetic number, because the mean of its divisors is an integer number (5122560).

Almost surely, 2106591113 is an apocalyptic number.

It is an amenable number.

106591113 is a deficient number, since it is larger than the sum of its proper divisors (57330807).

106591113 is a wasteful number, since it uses less digits than its factorization.

106591113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 106591113 is about 10324.2972157915. The cubic root of 106591113 is about 474.1404406795.

The spelling of 106591113 in words is "one hundred six million, five hundred ninety-one thousand, one hundred thirteen".

Divisors: 1 3 9 27 31 93 279 347 367 837 1041 1101 3123 3303 9369 9909 10757 11377 32271 34131 96813 102393 127349 290439 307179 382047 1146141 3438423 3947819 11843457 35530371 106591113