100508993 has 16 divisors (see below), whose sum is σ = 114744000. Its totient is φ = 87272640.

The previous prime is 100508963. The next prime is 100509007. The reversal of 100508993 is 399805001.

It is not a de Polignac number, because 100508993 - 2⁶ = 100508929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100508963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35438 + ... + 38168.

It is an arithmetic number, because the mean of its divisors is an integer number (7171500).

Almost surely, 2^100508993 is an apocalyptic number.

100508993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100508993 is a deficient number, since it is larger than the sum of its proper divisors (14235007).

100508993 is a wasteful number, since it uses less digits than its factorization.

100508993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 100508993 is about 10025.4173479212. The cubic root of 100508993 is about 464.9450630747.

The spelling of 100508993 in words is "one hundred million, five hundred eight thousand, nine hundred ninety-three".