100406824 has 16 divisors (see below), whose sum is σ = 215157600. Its totient is φ = 43031472.

The previous prime is 100406819. The next prime is 100406869. The reversal of 100406824 is 428604001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 896434 + ... + 896545.

It is an arithmetic number, because the mean of its divisors is an integer number (13447350).

Almost surely, 2^100406824 is an apocalyptic number.

100406824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100406824 is an abundant number, since it is smaller than the sum of its proper divisors (114750776).

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

100406824 is a wasteful number, since it uses less digits than its factorization.

100406824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792992 (or 1792988 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 100406824 is about 10020.3205537548. The cubic root of 100406824 is about 464.7874682974.

The spelling of 100406824 in words is "one hundred million, four hundred six thousand, eight hundred twenty-four".