104002272 has 192 divisors, whose sum is σ = 342558720. Its totient is φ = 30412800.

The previous prime is 104002253. The next prime is 104002273. The reversal of 104002272 is 272200401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104002273) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 294448 + ... + 294800.

It is an arithmetic number, because the mean of its divisors is an integer number (1784160).

Almost surely, 2^104002272 is an apocalyptic number.

104002272 is a gapful number since it is divisible by the number (12) 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 104002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171279360).

104002272 is an abundant number, since it is smaller than the sum of its proper divisors (238556448).

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

104002272 is a wasteful number, since it uses less digits than its factorization.

104002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 104002272 is about 10198.1504205420. The cubic root of 104002272 is about 470.2703620272.

Adding to 104002272 its reverse (272200401), we get a palindrome (376202673).

The spelling of 104002272 in words is "one hundred four million, two thousand, two hundred seventy-two".