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106986 = 23111621
BaseRepresentation
bin11010000111101010
312102202110
4122013222
511410421
62143150
7623625
oct320752
9172673
10106986
1173420
1251ab6
1339909
142adbc
1521a76
hex1a1ea

106986 has 16 divisors (see below), whose sum is σ = 233568. Its totient is φ = 32400.

The previous prime is 106979. The next prime is 106993. The reversal of 106986 is 689601.

It is an interprime number because it is at equal distance from previous prime (106979) and next prime (106993).

It is a super-2 number, since 2×1069862 = 22892008392, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

106986 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 7 ways as a sum of consecutive naturals, for example, 745 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (14598).

2106986 is an apocalyptic number.

106986 is an abundant number, since it is smaller than the sum of its proper divisors (126582).

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

106986 is a wasteful number, since it uses less digits than its factorization.

106986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106986 is about 327.0871443515. The cubic root of 106986 is about 47.4725233519.

It can be divided in two parts, 10 and 6986, that added together give a palindrome (6996).

The spelling of 106986 in words is "one hundred six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 1621 3242 4863 9726 17831 35662 53493 106986