Search a number
-
+
106708 = 22737103
BaseRepresentation
bin11010000011010100
312102101011
4122003110
511403313
62142004
7623050
oct320324
9172334
10106708
1173198
1251904
1339754
142ac60
152193d
hex1a0d4

106708 has 24 divisors (see below), whose sum is σ = 221312. Its totient is φ = 44064.

The previous prime is 106703. The next prime is 106721. The reversal of 106708 is 807601.

It is a super-2 number, since 2×1067082 = 22773194528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106703) by changing a digit.

106708 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 985 + ... + 1087.

2106708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110656).

106708 is an abundant number, since it is smaller than the sum of its proper divisors (114604).

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

106708 is a wasteful number, since it uses less digits than its factorization.

106708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 106708 is about 326.6619047272. The cubic root of 106708 is about 47.4313690295.

The spelling of 106708 in words is "one hundred six thousand, seven hundred eight".

Divisors: 1 2 4 7 14 28 37 74 103 148 206 259 412 518 721 1036 1442 2884 3811 7622 15244 26677 53354 106708