106557313 has 8 divisors (see below), whose sum is σ = 108357032. Its totient is φ = 104772096.

The previous prime is 106557293. The next prime is 106557337. The reversal of 106557313 is 313755601.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 103571329 = 1728^2 + 10177^2 .

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 106557313 - 2¹⁷ = 106426241 is a prime.

It is a super-2 number, since 2×106557313² = 22708921907559938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106557383) 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, 11731 + ... + 18727.

It is an arithmetic number, because the mean of its divisors is an integer number (13544629).

Almost surely, 2^106557313 is an apocalyptic number.

It is an amenable number.

106557313 is a deficient number, since it is larger than the sum of its proper divisors (1799719).

106557313 is an equidigital number, since it uses as much as digits as its factorization.

106557313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 106557313 is about 10322.6601707118. The cubic root of 106557313 is about 474.0903187988.

The spelling of 106557313 in words is "one hundred six million, five hundred fifty-seven thousand, three hundred thirteen".