Search a number
-
+
106065873 = 32171514591
BaseRepresentation
bin1100101001001…
…10111111010001
321101120201000200
412110212333101
5204123101443
614305205413
72425354644
oct624467721
9241521020
10106065873
1154964951
122b630869
1318c88794
141012da5b
1594a1dd3
hex6526fd1

106065873 has 24 divisors (see below), whose sum is σ = 163328256. Its totient is φ = 66096000.

The previous prime is 106065859. The next prime is 106065881. The reversal of 106065873 is 378560601.

106065873 is a `hidden beast` number, since 10 + 60 + 6 + 587 + 3 = 666.

It is not a de Polignac number, because 106065873 - 29 = 106065361 is a prime.

It is a super-2 number, since 2×1060658732 = 22499938830504258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106065173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20808 + ... + 25398.

It is an arithmetic number, because the mean of its divisors is an integer number (6805344).

Almost surely, 2106065873 is an apocalyptic number.

It is an amenable number.

106065873 is a deficient number, since it is larger than the sum of its proper divisors (57262383).

106065873 is a wasteful number, since it uses less digits than its factorization.

106065873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106065873 is about 10298.8287198108. The cubic root of 106065873 is about 473.3603640694.

The spelling of 106065873 in words is "one hundred six million, sixty-five thousand, eight hundred seventy-three".

Divisors: 1 3 9 17 51 151 153 453 1359 2567 4591 7701 13773 23103 41319 78047 234141 693241 702423 2079723 6239169 11785097 35355291 106065873