105157 has 4 divisors (see below), whose sum is σ = 113260. Its totient is φ = 97056.

The previous prime is 105143. The next prime is 105167. The reversal of 105157 is 751501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 751501 = 277 ⋅2713.

It can be written as a sum of positive squares in 2 ways, for example, as 6561 + 98596 = 81^2 + 314^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105157 is a prime.

It is a super-2 number, since 2×105157² = 22115989298, 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 (105107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4032 + ... + 4057.

It is an arithmetic number, because the mean of its divisors is an integer number (28315).

2¹⁰⁵¹⁵⁷ is an apocalyptic number.

It is an amenable number.

105157 is a deficient number, since it is larger than the sum of its proper divisors (8103).

105157 is an equidigital number, since it uses as much as digits as its factorization.

105157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 105157 is about 324.2792006898. The cubic root of 105157 is about 47.2004416793.

Adding to 105157 its reverse (751501), we get a palindrome (856658).

It can be divided in two parts, 105 and 157, that added together give a palindrome (262).

The spelling of 105157 in words is "one hundred five thousand, one hundred fifty-seven".