Search a number
-
+
106881459 = 3312131283
BaseRepresentation
bin1100101111011…
…10000110110011
321110010010210120
412113232012303
5204330201314
614334501323
72435322516
oct627560663
9243103716
10106881459
1155371693
122b964843
13191b2a89
14102a2d7d
1595b38a9
hex65ee1b3

106881459 has 24 divisors (see below), whose sum is σ = 148902336. Its totient is φ = 68187600.

The previous prime is 106881451. The next prime is 106881469. The reversal of 106881459 is 954188601.

It is not a de Polignac number, because 106881459 - 23 = 106881451 is a prime.

It is a super-2 number, since 2×1068814592 = 22847292555937362, 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 106881459.

It is not an unprimeable number, because it can be changed into a prime (106881451) 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, 377532 + ... + 377814.

It is an arithmetic number, because the mean of its divisors is an integer number (6204264).

Almost surely, 2106881459 is an apocalyptic number.

106881459 is a deficient number, since it is larger than the sum of its proper divisors (42020877).

106881459 is a wasteful number, since it uses less digits than its factorization.

106881459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 106881459 is about 10338.3489494213. The cubic root of 106881459 is about 474.5705577541.

The spelling of 106881459 in words is "one hundred six million, eight hundred eighty-one thousand, four hundred fifty-nine".

Divisors: 1 3 31 93 131 283 393 849 961 2883 4061 8773 12183 26319 37073 111219 125891 271963 377673 815889 1149263 3447789 35627153 106881459