100205124 has 24 divisors (see below), whose sum is σ = 234325728. Its totient is φ = 33328320.

The previous prime is 100205111. The next prime is 100205141. The reversal of 100205124 is 421502001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3337 + ... + 14544.

It is an arithmetic number, because the mean of its divisors is an integer number (9763572).

Almost surely, 2^100205124 is an apocalyptic number.

It is an amenable number.

100205124 is an abundant number, since it is smaller than the sum of its proper divisors (134120604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100205124 is a wasteful number, since it uses less digits than its factorization.

100205124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18355 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 100205124 is about 10010.2509459054. The cubic root of 100205124 is about 464.4760336988.

Adding to 100205124 its reverse (421502001), we get a palindrome (521707125).

The spelling of 100205124 in words is "one hundred million, two hundred five thousand, one hundred twenty-four".