100504961 has 2 divisors, whose sum is σ = 100504962. Its totient is φ = 100504960.

The previous prime is 100504951. The next prime is 100504979. The reversal of 100504961 is 169405001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80209936 + 20295025 = 8956^2 + 4505^2 .

It is an emirp because it is prime and its reverse (169405001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100504961 - 2⁶ = 100504897 is a prime.

It is a super-2 number, since 2×100504961² = 20202494371223042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100504961.

It is not a weakly prime, because it can be changed into another prime (100504951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50252480 + 50252481.

It is an arithmetic number, because the mean of its divisors is an integer number (50252481).

Almost surely, 2^100504961 is an apocalyptic number.

It is an amenable number.

100504961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100504961 is an equidigital number, since it uses as much as digits as its factorization.

100504961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 100504961 is about 10025.2162570191. The cubic root of 100504961 is about 464.9388457751.

Adding to 100504961 its reverse (169405001), we get a palindrome (269909962).

The spelling of 100504961 in words is "one hundred million, five hundred four thousand, nine hundred sixty-one".