106313601 has 16 divisors (see below), whose sum is σ = 149091840. Its totient is φ = 67292160.

The previous prime is 106313591. The next prime is 106313609.

106313601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106313601 - 2⁹ = 106313089 is a prime.

It is a super-2 number, since 2×106313601² = 22605163515174402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106313609) 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 15 ways as a sum of consecutive naturals, for example, 5856 + ... + 15713.

It is an arithmetic number, because the mean of its divisors is an integer number (9318240).

Almost surely, 2^106313601 is an apocalyptic number.

It is an amenable number.

106313601 is a deficient number, since it is larger than the sum of its proper divisors (42778239).

106313601 is a wasteful number, since it uses less digits than its factorization.

106313601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21656.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106313601 is about 10310.8487041562. The cubic root of 106313601 is about 473.7286051653.

The spelling of 106313601 in words is "one hundred six million, three hundred thirteen thousand, six hundred one".