104849680 has 80 divisors (see below), whose sum is σ = 264451824. Its totient is φ = 38430720.

The previous prime is 104849671. The next prime is 104849713. The reversal of 104849680 is 86948401.

It can be written as a sum of positive squares in 8 ways, for example, as 59043856 + 45805824 = 7684^2 + 6768^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×104849680² = 21986910792204800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187962 + ... + 188518.

Almost surely, 2^104849680 is an apocalyptic number.

104849680 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 104849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

104849680 is an abundant number, since it is smaller than the sum of its proper divisors (159602144).

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

104849680 is a wasteful number, since it uses less digits than its factorization.

104849680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 104849680 is about 10239.6132739474. The cubic root of 104849680 is about 471.5441591599.

It can be divided in two parts, 1048496 and 80, that added together give a 20-th power (1048576 = 2²⁰).

The spelling of 104849680 in words is "one hundred four million, eight hundred forty-nine thousand, six hundred eighty".