100813643 has 16 divisors (see below), whose sum is σ = 119341056. Its totient is φ = 83337120.

The previous prime is 100813633. The next prime is 100813673. The reversal of 100813643 is 346318001.

It is a cyclic number.

It is not a de Polignac number, because 100813643 - 2⁸ = 100813387 is a prime.

It is a super-2 number, since 2×100813643² = 20326781229862898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100813613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82505 + ... + 83717.

It is an arithmetic number, because the mean of its divisors is an integer number (7458816).

Almost surely, 2^100813643 is an apocalyptic number.

100813643 is a deficient number, since it is larger than the sum of its proper divisors (18527413).

100813643 is a wasteful number, since it uses less digits than its factorization.

100813643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 100813643 is about 10040.5997330837. The cubic root of 100813643 is about 465.4143499088.

The spelling of 100813643 in words is "one hundred million, eight hundred thirteen thousand, six hundred forty-three".