100105853 has 2 divisors, whose sum is σ = 100105854. Its totient is φ = 100105852.

The previous prime is 100105829. The next prime is 100105879. The reversal of 100105853 is 358501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71182969 + 28922884 = 8437^2 + 5378^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105853 - 2²² = 95911549 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052926 + 50052927.

It is an arithmetic number, because the mean of its divisors is an integer number (50052927).

Almost surely, 2^100105853 is an apocalyptic number.

It is an amenable number.

100105853 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105853 is an equidigital number, since it uses as much as digits as its factorization.

100105853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 100105853 is about 10005.2912501336. The cubic root of 100105853 is about 464.3226009758.

Adding to 100105853 its reverse (358501001), we get a palindrome (458606854).

The spelling of 100105853 in words is "one hundred million, one hundred five thousand, eight hundred fifty-three".