100105398 has 24 divisors (see below), whose sum is σ = 218282688. Its totient is φ = 33154992.

The previous prime is 100105381. The next prime is 100105399. The reversal of 100105398 is 893501001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14886 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (9095112).

Almost surely, 2^100105398 is an apocalyptic number.

100105398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100105398 is an abundant number, since it is smaller than the sum of its proper divisors (118177290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100105398 is a wasteful number, since it uses less digits than its factorization.

100105398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35588 (or 35585 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 100105398 is about 10005.2685121390. The cubic root of 100105398 is about 464.3218974968.

Adding to 100105398 its reverse (893501001), we get a palindrome (993606399).

The spelling of 100105398 in words is "one hundred million, one hundred five thousand, three hundred ninety-eight".