104321952 has 192 divisors, whose sum is σ = 356106240. Its totient is φ = 29092608.

The previous prime is 104321909. The next prime is 104321963. The reversal of 104321952 is 259123401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284073 + ... + 284439.

It is an arithmetic number, because the mean of its divisors is an integer number (1854720).

Almost surely, 2^104321952 is an apocalyptic number.

104321952 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 104321952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178053120).

104321952 is an abundant number, since it is smaller than the sum of its proper divisors (251784288).

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

104321952 is a wasteful number, since it uses less digits than its factorization.

104321952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104321952 is about 10213.8118251709. The cubic root of 104321952 is about 470.7517049046.

The spelling of 104321952 in words is "one hundred four million, three hundred twenty-one thousand, nine hundred fifty-two".