Search a number
-
+
106500 = 2235371
BaseRepresentation
bin11010000000000100
312102002110
4122000010
511402000
62141020
7622332
oct320004
9172073
10106500
1173019
1251770
1339624
142ab52
1521850
hex1a004

106500 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 28000.

The previous prime is 106487. The next prime is 106501. The reversal of 106500 is 5601.

Added to its reverse (5601) it gives a triangular number (112101 = T473).

It is a super-2 number, since 2×1065002 = 22684500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (106501) by changing a digit.

106500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2106500 is an apocalyptic number.

106500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

106500 is an abundant number, since it is smaller than the sum of its proper divisors (207996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106500 is a wasteful number, since it uses less digits than its factorization.

106500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 106500 is about 326.3433774416. The cubic root of 106500 is about 47.4005305358.

Adding to 106500 its reverse (5601), we get a triangular number (112101 = T473).

It can be divided in two parts, 106 and 500, that added together give a palindrome (606).

The spelling of 106500 in words is "one hundred six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 125 142 150 213 250 284 300 355 375 426 500 710 750 852 1065 1420 1500 1775 2130 3550 4260 5325 7100 8875 10650 17750 21300 26625 35500 53250 106500