100013998 has 32 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 41471640.

The previous prime is 100013989. The next prime is 100013999. The reversal of 100013998 is 899310001.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013999) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18915 + ... + 23617.

It is an arithmetic number, because the mean of its divisors is an integer number (5644800).

Almost surely, 2^100013998 is an apocalyptic number.

100013998 is a deficient number, since it is larger than the sum of its proper divisors (80619602).

100013998 is an equidigital number, since it uses as much as digits as its factorization.

100013998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 100013998 is about 10000.6998755087. The cubic root of 100013998 is about 464.1805400043.

Adding to 100013998 its reverse (899310001), we get a palindrome (999323999).

The spelling of 100013998 in words is "one hundred million, thirteen thousand, nine hundred ninety-eight".