Search a number
-
+
106876714005 = 345263893121
BaseRepresentation
bin110001110001001011…
…0010011110000010101
3101012212102101121110000
41203202112103300111
53222340414322010
6121033134521513
710502335036245
oct1434226236025
9335772347400
10106876714005
1141365134116
1218868966299
13a10340ab99
14525c487b25
152ba7cee7c0
hex18e2593c15

106876714005 has 20 divisors (see below), whose sum is σ = 191586406572. Its totient is φ = 57000913920.

The previous prime is 106876713991. The next prime is 106876714037. The reversal of 106876714005 is 500417678601.

106876714005 is a `hidden beast` number, since 106 + 8 + 76 + 71 + 400 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42722409636 + 64154304369 = 206694^2 + 253287^2 .

It is not a de Polignac number, because 106876714005 - 210 = 106876712981 is a prime.

It is a super-2 number, since 2×1068767140052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131946156 + ... + 131946965.

Almost surely, 2106876714005 is an apocalyptic number.

106876714005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106876714005 is a deficient number, since it is larger than the sum of its proper divisors (84709692567).

106876714005 is an equidigital number, since it uses as much as digits as its factorization.

106876714005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263893138 (or 263893129 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 106876714005 in words is "one hundred six billion, eight hundred seventy-six million, seven hundred fourteen thousand, five".

Divisors: 1 3 5 9 15 27 45 81 135 405 263893121 791679363 1319465605 2375038089 3958396815 7125114267 11875190445 21375342801 35625571335 106876714005