100100093 has 8 divisors (see below), whose sum is σ = 102623328. Its totient is φ = 97600464.

The previous prime is 100100089. The next prime is 100100107. The reversal of 100100093 is 390001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100093 - 2² = 100100089 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846 + ... + 14432.

It is an arithmetic number, because the mean of its divisors is an integer number (12827916).

Almost surely, 2^100100093 is an apocalyptic number.

It is an amenable number.

100100093 is a deficient number, since it is larger than the sum of its proper divisors (2523235).

100100093 is a wasteful number, since it uses less digits than its factorization.

100100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 100100093 is about 10005.0033983003. The cubic root of 100100093 is about 464.3136952379.

Adding to 100100093 its reverse (390001001), we get a palindrome (490101094).

The spelling of 100100093 in words is "one hundred million, one hundred thousand, ninety-three".