106646601 has 32 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 64447488.

The previous prime is 106646557. The next prime is 106646621.

106646601 = T₃₂₆ + T₃₂₇ + ... + T₈₇₆.

106646601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106646601 - 2¹⁰ = 106645577 is a prime.

It is a super-2 number, since 2×106646601² = 22746995009706402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106646621) 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 31 ways as a sum of consecutive naturals, for example, 246081 + ... + 246513.

It is an arithmetic number, because the mean of its divisors is an integer number (4882500).

Almost surely, 2^106646601 is an apocalyptic number.

It is an amenable number.

106646601 is a deficient number, since it is larger than the sum of its proper divisors (49593399).

106646601 is a wasteful number, since it uses less digits than its factorization.

106646601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106646601 is about 10326.9841192867. The cubic root of 106646601 is about 474.2227006357. Note that the first 3 decimals are identical.

The spelling of 106646601 in words is "one hundred six million, six hundred forty-six thousand, six hundred one".