100198031 has 12 divisors (see below), whose sum is σ = 104056728. Its totient is φ = 96459792.

The previous prime is 100198009. The next prime is 100198061. The reversal of 100198031 is 130891001.

It is not a de Polignac number, because 100198031 - 2¹⁴ = 100181647 is a prime.

It is a super-2 number, since 2×100198031² = 20079290832553922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100197988 and 100198006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100198061) 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 11 ways as a sum of consecutive naturals, for example, 147665 + ... + 148341.

It is an arithmetic number, because the mean of its divisors is an integer number (8671394).

Almost surely, 2^100198031 is an apocalyptic number.

100198031 is a deficient number, since it is larger than the sum of its proper divisors (3858697).

100198031 is an frugal number, since it uses more digits than its factorization.

100198031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 100198031 is about 10009.8966528132. The cubic root of 100198031 is about 464.4650741587.

The spelling of 100198031 in words is "one hundred million, one hundred ninety-eight thousand, thirty-one".