106657013 has 8 divisors (see below), whose sum is σ = 113157120. Its totient is φ = 100245600.

The previous prime is 106657009. The next prime is 106657037. The reversal of 106657013 is 310756601.

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 106657013 - 2² = 106657009 is a prime.

It is a super-2 number, since 2×106657013² = 22751436844164338, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106657093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19688 + ... + 24513.

It is an arithmetic number, because the mean of its divisors is an integer number (14144640).

Almost surely, 2^106657013 is an apocalyptic number.

It is an amenable number.

106657013 is a deficient number, since it is larger than the sum of its proper divisors (6500107).

106657013 is a wasteful number, since it uses less digits than its factorization.

106657013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44347.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 106657013 is about 10327.4882231838. The cubic root of 106657013 is about 474.2381330577.

The spelling of 106657013 in words is "one hundred six million, six hundred fifty-seven thousand, thirteen".