106406881 has 12 divisors (see below), whose sum is σ = 126117972. Its totient is φ = 89482848.

The previous prime is 106406851. The next prime is 106406891. The reversal of 106406881 is 188604601.

It can be written as a sum of positive squares in 2 ways, for example, as 94400656 + 12006225 = 9716^2 + 3465^2 .

It is not a de Polignac number, because 106406881 - 2²³ = 98018273 is a prime.

It is a super-2 number, since 2×106406881² = 22644848648296322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106406851) 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, 17890 + ... + 23083.

It is an arithmetic number, because the mean of its divisors is an integer number (10509831).

Almost surely, 2^106406881 is an apocalyptic number.

It is an amenable number.

106406881 is a deficient number, since it is larger than the sum of its proper divisors (19711091).

106406881 is an equidigital number, since it uses as much as digits as its factorization.

106406881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41040 (or 41033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 106406881 is about 10315.3711033583. The cubic root of 106406881 is about 473.8671151527.

The spelling of 106406881 in words is "one hundred six million, four hundred six thousand, eight hundred eighty-one".