100205965 has 8 divisors (see below), whose sum is σ = 120395520. Its totient is φ = 80065872.

The previous prime is 100205957. The next prime is 100205969. The reversal of 100205965 is 569502001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100205965 - 2³ = 100205957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100205969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7749 + ... + 16138.

It is an arithmetic number, because the mean of its divisors is an integer number (15049440).

Almost surely, 2^100205965 is an apocalyptic number.

It is an amenable number.

100205965 is a deficient number, since it is larger than the sum of its proper divisors (20189555).

100205965 is an equidigital number, since it uses as much as digits as its factorization.

100205965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24731.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 100205965 is about 10010.2929527562. The cubic root of 100205965 is about 464.4773331109.

Adding to 100205965 its reverse (569502001), we get a palindrome (669707966).

The spelling of 100205965 in words is "one hundred million, two hundred five thousand, nine hundred sixty-five".