100099993 has 6 divisors (see below), whose sum is σ = 116442906. Its totient is φ = 85799952.

The previous prime is 100099981. The next prime is 100100051. The reversal of 100099993 is 399990001.

It can be written as a sum of positive squares in only one way, i.e., 92102409 + 7997584 = 9597^2 + 2828^2 .

It is not a de Polignac number, because 100099993 - 2⁹ = 100099481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100099913) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021380 + ... + 1021477.

It is an arithmetic number, because the mean of its divisors is an integer number (19407151).

Almost surely, 2^100099993 is an apocalyptic number.

It is an amenable number.

100099993 is a deficient number, since it is larger than the sum of its proper divisors (16342913).

100099993 is an equidigital number, since it uses as much as digits as its factorization.

100099993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042871 (or 2042864 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 40.

The square root of 100099993 is about 10004.9984007995. The cubic root of 100099993 is about 464.3135406213.

It can be divided in two parts, 10009 and 9993, that added together give a palindrome (20002).

The spelling of 100099993 in words is "one hundred million, ninety-nine thousand, nine hundred ninety-three".