100461205 has 24 divisors (see below), whose sum is σ = 132748200. Its totient is φ = 72933120.

The previous prime is 100461197. The next prime is 100461223. The reversal of 100461205 is 502164001.

It can be written as a sum of positive squares in 12 ways, for example, as 70408881 + 30052324 = 8391^2 + 5482^2 .

It is not a de Polignac number, because 100461205 - 2³ = 100461197 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 50571 + ... + 52519.

It is an arithmetic number, because the mean of its divisors is an integer number (5531175).

Almost surely, 2^100461205 is an apocalyptic number.

It is an amenable number.

100461205 is a deficient number, since it is larger than the sum of its proper divisors (32286995).

100461205 is a wasteful number, since it uses less digits than its factorization.

100461205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 100461205 is about 10023.0337223817. The cubic root of 100461205 is about 464.8713638088.

The spelling of 100461205 in words is "one hundred million, four hundred sixty-one thousand, two hundred five".