106786561 has 16 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 89907840.

The previous prime is 106786549. The next prime is 106786577. The reversal of 106786561 is 165687601.

It is a cyclic number.

It is not a de Polignac number, because 106786561 - 2⁵ = 106786529 is a prime.

It is a super-2 number, since 2×106786561² = 22806739220413442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106786531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112290 + ... + 113236.

It is an arithmetic number, because the mean of its divisors is an integer number (7764120).

Almost surely, 2^106786561 is an apocalyptic number.

It is an amenable number.

106786561 is a deficient number, since it is larger than the sum of its proper divisors (17439359).

106786561 is an equidigital number, since it uses as much as digits as its factorization.

106786561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224.

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

The square root of 106786561 is about 10333.7583192177. The cubic root of 106786561 is about 474.4300621290.

The spelling of 106786561 in words is "one hundred six million, seven hundred eighty-six thousand, five hundred sixty-one".