106829109 has 12 divisors (see below), whose sum is σ = 154720800. Its totient is φ = 71029224.

The previous prime is 106829087. The next prime is 106829123. The reversal of 106829109 is 901928601.

It is not a de Polignac number, because 106829109 - 2⁸ = 106828853 is a prime.

It is a super-2 number, since 2×106829109² = 22824917059467762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106829809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12249 + ... + 19070.

It is an arithmetic number, because the mean of its divisors is an integer number (12893400).

Almost surely, 2^106829109 is an apocalyptic number.

It is an amenable number.

106829109 is a deficient number, since it is larger than the sum of its proper divisors (47891691).

106829109 is a wasteful number, since it uses less digits than its factorization.

106829109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31704 (or 31701 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 106829109 is about 10335.8168037171. The cubic root of 106829109 is about 474.4930643448.

It can be divided in two parts, 10682 and 9109, that added together give a palindrome (19791).

The spelling of 106829109 in words is "one hundred six million, eight hundred twenty-nine thousand, one hundred nine".