100026641 has 16 divisors (see below), whose sum is σ = 119450688. Its totient is φ = 82555200.

The previous prime is 100026637. The next prime is 100026671. The reversal of 100026641 is 146620001.

It is a happy number.

It is not a de Polignac number, because 100026641 - 2² = 100026637 is a prime.

It is a Curzon 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2990 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (7465668).

Almost surely, 2^100026641 is an apocalyptic number.

100026641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100026641 is a deficient number, since it is larger than the sum of its proper divisors (19424047).

100026641 is a wasteful number, since it uses less digits than its factorization.

100026641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 100026641 is about 10001.3319612940. The cubic root of 100026641 is about 464.2000985575.

Adding to 100026641 its reverse (146620001), we get a palindrome (246646642).

The spelling of 100026641 in words is "one hundred million, twenty-six thousand, six hundred forty-one".