104759680 has 64 divisors (see below), whose sum is σ = 252046080. Its totient is φ = 41635840.

The previous prime is 104759671. The next prime is 104759689. The reversal of 104759680 is 86957401.

It is an interprime number because it is at equal distance from previous prime (104759671) and next prime (104759689).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104759689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121812 + ... + 122668.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2^104759680 is an apocalyptic number.

104759680 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 104759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126023040).

104759680 is an abundant number, since it is smaller than the sum of its proper divisors (147286400).

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

104759680 is an equidigital number, since it uses as much as digits as its factorization.

104759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 104759680 is about 10235.2176332504. The cubic root of 104759680 is about 471.4092004809.

The spelling of 104759680 in words is "one hundred four million, seven hundred fifty-nine thousand, six hundred eighty".