106557 has 8 divisors (see below), whose sum is σ = 155040. Its totient is φ = 64560.

The previous prime is 106543. The next prime is 106591. The reversal of 106557 is 755601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106557 - 2⁴ = 106541 is a prime.

It is a super-2 number, since 2×106557² = 22708788498, which contains 22 as substring.

106557 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106557.

It is not an unprimeable number, because it can be changed into a prime (106537) 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, 1582 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (19380).

2¹⁰⁶⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

106557 is a deficient number, since it is larger than the sum of its proper divisors (48483).

106557 is a wasteful number, since it uses less digits than its factorization.

106557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 106557 is about 326.4306970859. The cubic root of 106557 is about 47.4089854603.

The spelling of 106557 in words is "one hundred six thousand, five hundred fifty-seven".