104493180 has 144 divisors (see below), whose sum is σ = 331138080. Its totient is φ = 24583680.

The previous prime is 104493161. The next prime is 104493199. The reversal of 104493180 is 81394401.

104493180 = T₆₄ + T₆₅ + ... + T₈₅₅.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104493161) and next prime (104493199).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268426 + ... + 268814.

It is an arithmetic number, because the mean of its divisors is an integer number (2299570).

Almost surely, 2^104493180 is an apocalyptic number.

104493180 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 104493180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165569040).

104493180 is an abundant number, since it is smaller than the sum of its proper divisors (226644900).

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

104493180 is a wasteful number, since it uses less digits than its factorization.

104493180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 104493180 is about 10222.1905675838. The cubic root of 104493180 is about 471.0091189673.

The spelling of 104493180 in words is "one hundred four million, four hundred ninety-three thousand, one hundred eighty".