Search a number
-
+
106680287 = 7173724229
BaseRepresentation
bin1100101101111…
…00111111011111
321102201220211202
412112330333133
5204302232122
614330310115
72433524150
oct626747737
9242656752
10106680287
115524452a
122b88833b
131914233c
141024d927
159573e92
hex65bcfdf

106680287 has 16 divisors (see below), whose sum is σ = 132586560. Its totient is φ = 83731968.

The previous prime is 106680263. The next prime is 106680313. The reversal of 106680287 is 782086601.

It is a cyclic number.

It is not a de Polignac number, because 106680287 - 212 = 106676191 is a prime.

It is a super-2 number, since 2×1066802872 = 22761367268804738, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106680287.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106680227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7712 + ... + 16517.

It is an arithmetic number, because the mean of its divisors is an integer number (8286660).

Almost surely, 2106680287 is an apocalyptic number.

106680287 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106680287 is a deficient number, since it is larger than the sum of its proper divisors (25906273).

106680287 is a wasteful number, since it uses less digits than its factorization.

106680287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24290.

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 106680287 is about 10328.6149603904. The cubic root of 106680287 is about 474.2726256031.

The spelling of 106680287 in words is "one hundred six million, six hundred eighty thousand, two hundred eighty-seven".

Divisors: 1 7 17 37 119 259 629 4403 24229 169603 411893 896473 2883251 6275311 15240041 106680287