104838643 has 32 divisors (see below), whose sum is σ = 137773440. Its totient is φ = 77875200.

The previous prime is 104838619. The next prime is 104838661. The reversal of 104838643 is 346838401.

It is a de Polignac number, because none of the positive numbers 2^k-104838643 is a prime.

It is a super-2 number, since 2×104838643² = 21982282132162898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104838673) 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 31 ways as a sum of consecutive naturals, for example, 261243 + ... + 261643.

It is an arithmetic number, because the mean of its divisors is an integer number (4305420).

Almost surely, 2^104838643 is an apocalyptic number.

104838643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

104838643 is a deficient number, since it is larger than the sum of its proper divisors (32934797).

104838643 is an equidigital number, since it uses as much as digits as its factorization.

104838643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 104838643 is about 10239.0743233947. The cubic root of 104838643 is about 471.5276128830.

The spelling of 104838643 in words is "one hundred four million, eight hundred thirty-eight thousand, six hundred forty-three".