104688640 has 176 divisors, whose sum is σ = 301842432. Its totient is φ = 34062336.

The previous prime is 104688631. The next prime is 104688641. The reversal of 104688640 is 46886401.

It is a super-2 number, since 2×104688640² = 21919422690099200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104688640.

It is not an unprimeable number, because it can be changed into a prime (104688641) 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, 824257 + ... + 824383.

Almost surely, 2^104688640 is an apocalyptic number.

104688640 is a gapful number since it is divisible by the number (10) 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 104688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150921216).

104688640 is an abundant number, since it is smaller than the sum of its proper divisors (197153792).

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

104688640 is a wasteful number, since it uses less digits than its factorization.

104688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 104688640 is about 10231.7466739555. The cubic root of 104688640 is about 471.3026185010.

The spelling of 104688640 in words is "one hundred four million, six hundred eighty-eight thousand, six hundred forty".