105357 has 16 divisors (see below), whose sum is σ = 167040. Its totient is φ = 57792.

The previous prime is 105341. The next prime is 105359. The reversal of 105357 is 753501.

It is a happy number.

It is not a de Polignac number, because 105357 - 2⁴ = 105341 is a prime.

It is a super-2 number, since 2×105357² = 22200194898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (10440).

2¹⁰⁵³⁵⁷ is an apocalyptic number.

It is an amenable number.

105357 is a deficient number, since it is larger than the sum of its proper divisors (61683).

105357 is a wasteful number, since it uses less digits than its factorization.

105357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 105357 is about 324.5874304406. The cubic root of 105357 is about 47.2303465197.

Adding to 105357 its reverse (753501), we get a palindrome (858858).

The spelling of 105357 in words is "one hundred five thousand, three hundred fifty-seven".