Search a number
-
+
106625 = 53853
BaseRepresentation
bin11010000010000001
312102021002
4122002001
511403000
62141345
7622601
oct320201
9172232
10106625
1173122
1251855
13396bc
142ac01
15218d5
hex1a081

106625 has 8 divisors (see below), whose sum is σ = 133224. Its totient is φ = 85200.

The previous prime is 106621. The next prime is 106627. The reversal of 106625 is 526601.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 83521 = 152^2 + 289^2 .

It is not a de Polignac number, because 106625 - 22 = 106621 is a prime.

It is a super-2 number, since 2×1066252 = 22737781250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106597 and 106606.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106625.

It is not an unprimeable number, because it can be changed into a prime (106621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (16653).

2106625 is an apocalyptic number.

It is an amenable number.

106625 is a deficient number, since it is larger than the sum of its proper divisors (26599).

106625 is an frugal number, since it uses more digits than its factorization.

106625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106625 is about 326.5348373451. The cubic root of 106625 is about 47.4190680936.

The spelling of 106625 in words is "one hundred six thousand, six hundred twenty-five".

Divisors: 1 5 25 125 853 4265 21325 106625