100975 has 12 divisors (see below), whose sum is σ = 143344. Its totient is φ = 69120.

The previous prime is 100957. The next prime is 100981. The reversal of 100975 is 579001.

It is not a de Polignac number, because 100975 - 2⁵ = 100943 is a prime.

It is a Duffinian number.

100975 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 463.

2¹⁰⁰⁹⁷⁵ is an apocalyptic number.

100975 is a deficient number, since it is larger than the sum of its proper divisors (42369).

100975 is an equidigital number, since it uses as much as digits as its factorization.

100975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 100975 is about 317.7656369087. The cubic root of 100975 is about 46.5662523439.

Adding to 100975 its reverse (579001), we get a palindrome (679976).

The spelling of 100975 in words is "one hundred thousand, nine hundred seventy-five".