106407985 has 8 divisors (see below), whose sum is σ = 127880640. Its totient is φ = 84999024.

The previous prime is 106407979. The next prime is 106407991. The reversal of 106407985 is 589704601.

It is an interprime number because it is at equal distance from previous prime (106407979) and next prime (106407991).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106407985 - 2⁹ = 106407473 is a prime.

It is a super-2 number, since 2×106407985² = 22645318543520450, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12165 + ... + 18994.

It is an arithmetic number, because the mean of its divisors is an integer number (15985080).

Almost surely, 2^106407985 is an apocalyptic number.

It is an amenable number.

106407985 is a deficient number, since it is larger than the sum of its proper divisors (21472655).

106407985 is an equidigital number, since it uses as much as digits as its factorization.

106407985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31847.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 106407985 is about 10315.4246155939. The cubic root of 106407985 is about 473.8687539799.

The spelling of 106407985 in words is "one hundred six million, four hundred seven thousand, nine hundred eighty-five".