104638248 has 96 divisors (see below), whose sum is σ = 332972640. Its totient is φ = 29266560.

The previous prime is 104638243. The next prime is 104638253. The reversal of 104638248 is 842836401.

104638248 is a `hidden beast` number, since 10 + 4 + 638 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (104638243) and next prime (104638253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104638243) 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 23 ways as a sum of consecutive naturals, for example, 5215 + ... + 15377.

It is an arithmetic number, because the mean of its divisors is an integer number (3468465).

Almost surely, 2^104638248 is an apocalyptic number.

104638248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104638248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166486320).

104638248 is an abundant number, since it is smaller than the sum of its proper divisors (228334392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104638248 is a wasteful number, since it uses less digits than its factorization.

104638248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104638248 is about 10229.2838459005. The cubic root of 104638248 is about 471.2269856745.

The spelling of 104638248 in words is "one hundred four million, six hundred thirty-eight thousand, two hundred forty-eight".