100575 has 24 divisors (see below), whose sum is σ = 186000. Its totient is φ = 53280.

The previous prime is 100559. The next prime is 100591. The reversal of 100575 is 575001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100559) and next prime (100591).

It is not a de Polignac number, because 100575 - 2⁴ = 100559 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (7750).

2¹⁰⁰⁵⁷⁵ is an apocalyptic number.

100575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100575 is a deficient number, since it is larger than the sum of its proper divisors (85425).

100575 is a wasteful number, since it uses less digits than its factorization.

100575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 100575 is about 317.1356176780. The cubic root of 100575 is about 46.5046821508.

Adding to 100575 its reverse (575001), we get a palindrome (675576).

The spelling of 100575 in words is "one hundred thousand, five hundred seventy-five".