104917680 has 280 divisors, whose sum is σ = 419607072. Its totient is φ = 23887872.

The previous prime is 104917661. The next prime is 104917699. The reversal of 104917680 is 86719401.

It is an interprime number because it is at equal distance from previous prime (104917661) and next prime (104917699).

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×104917680² = 22015439153164800, which contains 22 as substring.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 408112 + ... + 408368.

Almost surely, 2^104917680 is an apocalyptic number.

104917680 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 104917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209803536).

104917680 is an abundant number, since it is smaller than the sum of its proper divisors (314689392).

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

104917680 is an equidigital number, since it uses as much as digits as its factorization.

104917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 104917680 is about 10242.9331736569. The cubic root of 104917680 is about 471.6460767287.

The spelling of 104917680 in words is "one hundred four million, nine hundred seventeen thousand, six hundred eighty".