100546406217 has 48 divisors (see below), whose sum is σ = 157235245440. Its totient is φ = 64086308352.

The previous prime is 100546406209. The next prime is 100546406221. The reversal of 100546406217 is 712604645001.

100546406217 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 640 + 6 + 2 + 1 + 7 = 666.

It is not a de Polignac number, because 100546406217 - 2³ = 100546406209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100546406017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23074803 + ... + 23079159.

It is an arithmetic number, because the mean of its divisors is an integer number (3275734280).

Almost surely, 2^100546406217 is an apocalyptic number.

It is an amenable number.

100546406217 is a deficient number, since it is larger than the sum of its proper divisors (56688839223).

100546406217 is an equidigital number, since it uses as much as digits as its factorization.

100546406217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100546406217 in words is "one hundred billion, five hundred forty-six million, four hundred six thousand, two hundred seventeen".