109557 has 24 divisors (see below), whose sum is σ = 189696. Its totient is φ = 59616.

The previous prime is 109547. The next prime is 109567. The reversal of 109557 is 755901.

109557 is a `hidden beast` number, since 109 + 557 = 666.

It is an interprime number because it is at equal distance from previous prime (109547) and next prime (109567).

It is not a de Polignac number, because 109557 - 2⁴ = 109541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 109557.

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 109557.

It is not an unprimeable number, because it can be changed into a prime (109507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2308 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (7904).

2¹⁰⁹⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

109557 is a deficient number, since it is larger than the sum of its proper divisors (80139).

109557 is a wasteful number, since it uses less digits than its factorization.

109557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 109557 is about 330.9939576488. The cubic root of 109557 is about 47.8497908489.

It can be divided in two parts, 109 and 557, that added together give a palindrome (666).

The spelling of 109557 in words is "one hundred nine thousand, five hundred fifty-seven".