104364288 has 180 divisors, whose sum is σ = 356146560. Its totient is φ = 29776896.

The previous prime is 104364263. The next prime is 104364313. The reversal of 104364288 is 882463401.

104364288 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 642 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (104364263) and next prime (104364313).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144793 + ... + 145511.

It is an arithmetic number, because the mean of its divisors is an integer number (1978592).

Almost surely, 2^104364288 is an apocalyptic number.

104364288 is a gapful number since it is divisible by the number (18) 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 104364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073280).

104364288 is an abundant number, since it is smaller than the sum of its proper divisors (251782272).

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

104364288 is an frugal number, since it uses more digits than its factorization.

104364288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104364288 is about 10215.8841027099. The cubic root of 104364288 is about 470.8153765430.

The spelling of 104364288 in words is "one hundred four million, three hundred sixty-four thousand, two hundred eighty-eight".