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106929 = 321092
BaseRepresentation
bin11010000110110001
312102200100
4122012301
511410204
62143013
7623514
oct320661
9172610
10106929
1173379
1251a69
1339894
142ad7b
1521a39
hex1a1b1

106929 has 9 divisors (see below), whose sum is σ = 155883. Its totient is φ = 70632.

The previous prime is 106921. The next prime is 106937. The reversal of 106929 is 929601.

106929 = T326 + T327.

It is a happy number.

The square root of 106929 is 327.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (106921) and next prime (106937).

It can be written as a sum of positive squares in only one way, i.e., 74529 + 32400 = 273^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 106929 - 23 = 106921 is a prime.

It is a super-2 number, since 2×1069292 = 22867622082, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 927 + ... + 1035.

106929 is a Friedman number, since it can be written as (109*(9-6))^2, using all its digits and the basic arithmetic operations.

2106929 is an apocalyptic number.

106929 is the 327-th square number.

106929 is the 164-th centered octagonal number.

It is an amenable number.

106929 is a deficient number, since it is larger than the sum of its proper divisors (48954).

106929 is an equidigital number, since it uses as much as digits as its factorization.

106929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 106929 is about 47.4640910507.

It can be divided in two parts, 10692 and 9, that added together give a palindrome (10701).

The spelling of 106929 in words is "one hundred six thousand, nine hundred twenty-nine".

Divisors: 1 3 9 109 327 981 11881 35643 106929