Search a number
-
+
106597 = 374367
BaseRepresentation
bin11010000001100101
312102020001
4122001211
511402342
62141301
7622531
oct320145
9172201
10106597
11730a7
1251831
133969a
142abc1
15218b7
hex1a065

106597 has 8 divisors (see below), whose sum is σ = 113696. Its totient is φ = 99792.

The previous prime is 106591. The next prime is 106619. The reversal of 106597 is 795601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106597 - 211 = 104549 is a prime.

It is a super-2 number, since 2×1065972 = 22725840818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 1624.

It is an arithmetic number, because the mean of its divisors is an integer number (14212).

2106597 is an apocalyptic number.

106597 is the 189-th hex number.

It is an amenable number.

106597 is a deficient number, since it is larger than the sum of its proper divisors (7099).

106597 is an equidigital number, since it uses as much as digits as its factorization.

106597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 106597 is about 326.4919600848. The cubic root of 106597 is about 47.4149169404.

It can be divided in two parts, 106 and 597, that added together give a triangular number (703 = T37).

The spelling of 106597 in words is "one hundred six thousand, five hundred ninety-seven".

Divisors: 1 37 43 67 1591 2479 2881 106597