104138496 has 216 divisors, whose sum is σ = 374984064. Its totient is φ = 27002880.

The previous prime is 104138473. The next prime is 104138513. The reversal of 104138496 is 694831401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104138496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177115 + ... + 177701.

Almost surely, 2^104138496 is an apocalyptic number.

104138496 is a gapful number since it is divisible by the number (16) 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 104138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187492032).

104138496 is an abundant number, since it is smaller than the sum of its proper divisors (270845568).

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

104138496 is a wasteful number, since it uses less digits than its factorization.

104138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 104138496 is about 10204.8270930967. The cubic root of 104138496 is about 470.4755952367.

Adding to 104138496 its reverse (694831401), we get a palindrome (798969897).

The spelling of 104138496 in words is "one hundred four million, one hundred thirty-eight thousand, four hundred ninety-six".