106829890 has 16 divisors (see below), whose sum is σ = 192417408. Its totient is φ = 42704496.

The previous prime is 106829857. The next prime is 106829897. The reversal of 106829890 is 98928601.

It is a happy number.

It is a super-2 number, since 2×106829890² = 22825250794824200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106829897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21589 + ... + 26071.

It is an arithmetic number, because the mean of its divisors is an integer number (12026088).

Almost surely, 2^106829890 is an apocalyptic number.

106829890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106829890 is a deficient number, since it is larger than the sum of its proper divisors (85587518).

106829890 is a wasteful number, since it uses less digits than its factorization.

106829890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873.

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 106829890 is about 10335.8545848904. The cubic root of 106829890 is about 474.4942206407.

The spelling of 106829890 in words is "one hundred six million, eight hundred twenty-nine thousand, eight hundred ninety".