106324013 has 8 divisors (see below), whose sum is σ = 107869080. Its totient is φ = 104788800.

The previous prime is 106324007. The next prime is 106324027. The reversal of 106324013 is 310423601.

It can be written as a sum of positive squares in 4 ways, for example, as 42994249 + 63329764 = 6557^2 + 7958^2 .

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 106324013 - 2¹⁰ = 106322989 is a prime.

It is a super-2 number, since 2×106324013² = 22609591480848338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106324003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20831 + ... + 25427.

It is an arithmetic number, because the mean of its divisors is an integer number (13483635).

Almost surely, 2^106324013 is an apocalyptic number.

It is an amenable number.

106324013 is a deficient number, since it is larger than the sum of its proper divisors (1545067).

106324013 is a wasteful number, since it uses less digits than its factorization.

106324013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106324013 is about 10311.3535968853. The cubic root of 106324013 is about 473.7440697944.

Adding to 106324013 its reverse (310423601), we get a palindrome (416747614).

The spelling of 106324013 in words is "one hundred six million, three hundred twenty-four thousand, thirteen".