Search a number
-
+
106849405 = 5132314079
BaseRepresentation
bin1100101111001…
…10010001111101
321110001111211101
412113212101331
5204323140110
614334053101
72435130205
oct627462175
9243044741
10106849405
115534a5a3
122b94a191
13191a1300
1410295405
1595a913a
hex65e647d

106849405 has 24 divisors (see below), whose sum is σ = 143354880. Its totient is φ = 76340160.

The previous prime is 106849399. The next prime is 106849409. The reversal of 106849405 is 504948601.

It is a happy number.

It is not a de Polignac number, because 106849405 - 23 = 106849397 is a prime.

It is a super-3 number, since 3×1068494053 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106849409) 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, 24156 + ... + 28234.

It is an arithmetic number, because the mean of its divisors is an integer number (5973120).

Almost surely, 2106849405 is an apocalyptic number.

It is an amenable number.

106849405 is a deficient number, since it is larger than the sum of its proper divisors (36505475).

106849405 is a wasteful number, since it uses less digits than its factorization.

106849405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 106849405 is about 10336.7985856357. The cubic root of 106849405 is about 474.5231114032.

The spelling of 106849405 in words is "one hundred six million, eight hundred forty-nine thousand, four hundred five".

Divisors: 1 5 13 31 65 155 169 403 845 2015 4079 5239 20395 26195 53027 126449 265135 632245 689351 1643837 3446755 8219185 21369881 106849405