100105201 has 8 divisors (see below), whose sum is σ = 115006464. Its totient is φ = 85354080.

The previous prime is 100105199. The next prime is 100105207. The reversal of 100105201 is 102501001.

It is a happy number.

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

It is not a de Polignac number, because 100105201 - 2¹ = 100105199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105207) 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, 36100 + ... + 38773.

It is an arithmetic number, because the mean of its divisors is an integer number (14375808).

Almost surely, 2^100105201 is an apocalyptic number.

It is an amenable number.

100105201 is a deficient number, since it is larger than the sum of its proper divisors (14901263).

100105201 is an equidigital number, since it uses as much as digits as its factorization.

100105201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75071.

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 100105201 is about 10005.2586673209. The cubic root of 100105201 is about 464.3215929129.

Adding to 100105201 its reverse (102501001), we get a palindrome (202606202).

The spelling of 100105201 in words is "one hundred million, one hundred five thousand, two hundred one".