106129989 has 24 divisors (see below), whose sum is σ = 175552832. Its totient is φ = 60523200.

The previous prime is 106129883. The next prime is 106129993. The reversal of 106129989 is 989921601.

It is not a de Polignac number, because 106129989 - 2⁹ = 106129477 is a prime.

It is a super-2 number, since 2×106129989² = 22527149130280242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106129189) 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 23 ways as a sum of consecutive naturals, for example, 36462 + ... + 39264.

Almost surely, 2^106129989 is an apocalyptic number.

It is an amenable number.

106129989 is a deficient number, since it is larger than the sum of its proper divisors (69422843).

106129989 is a wasteful number, since it uses less digits than its factorization.

106129989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 106129989 is about 10301.9410306990. The cubic root of 106129989 is about 473.4557257500.

The spelling of 106129989 in words is "one hundred six million, one hundred twenty-nine thousand, nine hundred eighty-nine".