100505314 has 48 divisors (see below), whose sum is σ = 188785728. Its totient is φ = 39289536.

The previous prime is 100505299. The next prime is 100505323. The reversal of 100505314 is 413505001.

It is a junction number, because it is equal to n+sod(n) for n = 100505291 and 100505300.

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, 252964 + ... + 253360.

It is an arithmetic number, because the mean of its divisors is an integer number (3933036).

Almost surely, 2^100505314 is an apocalyptic number.

100505314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100505314 is a deficient number, since it is larger than the sum of its proper divisors (88280414).

100505314 is a wasteful number, since it uses less digits than its factorization.

100505314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 100505314 is about 10025.2338626089. The cubic root of 100505314 is about 464.9393901038.

The spelling of 100505314 in words is "one hundred million, five hundred five thousand, three hundred fourteen".