106138809 has 32 divisors (see below), whose sum is σ = 180960000. Its totient is φ = 60227712.

The previous prime is 106138793. The next prime is 106138843. The reversal of 106138809 is 908831601.

It is not a de Polignac number, because 106138809 - 2⁴ = 106138793 is a prime.

It is a super-2 number, since 2×106138809² = 22530893551876962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106138849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26277 + ... + 30045.

It is an arithmetic number, because the mean of its divisors is an integer number (5655000).

Almost surely, 2^106138809 is an apocalyptic number.

It is an amenable number.

106138809 is a deficient number, since it is larger than the sum of its proper divisors (74821191).

106138809 is a wasteful number, since it uses less digits than its factorization.

106138809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 106138809 is about 10302.3690964748. The cubic root of 106138809 is about 473.4688409994.

The spelling of 106138809 in words is "one hundred six million, one hundred thirty-eight thousand, eight hundred nine".