100026031 has 16 divisors (see below), whose sum is σ = 116673088. Its totient is φ = 83980800.

The previous prime is 100026023. The next prime is 100026053. The reversal of 100026031 is 130620001.

It is a 9-Lehmer number, since φ(100026031) divides (100026031-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 100026031 - 2³ = 100026023 is a prime.

It is a super-2 number, since 2×100026031² = 20010413755225922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100026631) 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, 184621 + ... + 185161.

It is an arithmetic number, because the mean of its divisors is an integer number (7292068).

Almost surely, 2^100026031 is an apocalyptic number.

100026031 is a deficient number, since it is larger than the sum of its proper divisors (16647057).

100026031 is an equidigital number, since it uses as much as digits as its factorization.

100026031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100026031 is about 10001.3014653094. The cubic root of 100026031 is about 464.1991549334.

Adding to 100026031 its reverse (130620001), we get a palindrome (230646032).

The spelling of 100026031 in words is "one hundred million, twenty-six thousand, thirty-one".