104863680 has 224 divisors, whose sum is σ = 378561600. Its totient is φ = 27316224.

The previous prime is 104863639. The next prime is 104863687. The reversal of 104863680 is 86368401.

It is a happy number.

104863680 is a `hidden beast` number, since 10 + 4 + 8 + 636 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104863687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457806 + ... + 458034.

Almost surely, 2^104863680 is an apocalyptic number.

104863680 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 104863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189280800).

104863680 is an abundant number, since it is smaller than the sum of its proper divisors (273697920).

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

104863680 is a wasteful number, since it uses less digits than its factorization.

104863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104863680 is about 10240.2968706967. The cubic root of 104863680 is about 471.5651457902.

The spelling of 104863680 in words is "one hundred four million, eight hundred sixty-three thousand, six hundred eighty".