106829464 has 16 divisors (see below), whose sum is σ = 228920400. Its totient is φ = 45784032.

The previous prime is 106829461. The next prime is 106829467. The reversal of 106829464 is 464928601.

It is an interprime number because it is at equal distance from previous prime (106829461) and next prime (106829467).

It is a super-2 number, since 2×106829464² = 22825068757054592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106829461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 953779 + ... + 953890.

It is an arithmetic number, because the mean of its divisors is an integer number (14307525).

Almost surely, 2^106829464 is an apocalyptic number.

106829464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106829464 is an abundant number, since it is smaller than the sum of its proper divisors (122090936).

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

106829464 is a wasteful number, since it uses less digits than its factorization.

106829464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907682 (or 1907678 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 106829464 is about 10335.8339769948. The cubic root of 106829464 is about 474.4935899346.

The spelling of 106829464 in words is "one hundred six million, eight hundred twenty-nine thousand, four hundred sixty-four".