104233875120 has 240 divisors, whose sum is σ = 360266137920. Its totient is φ = 26987821056.

The previous prime is 104233875073. The next prime is 104233875121. The reversal of 104233875120 is 21578332401.

104233875120 is a `hidden beast` number, since 10 + 423 + 38 + 75 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (104233875121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13555917 + ... + 13563603.

It is an arithmetic number, because the mean of its divisors is an integer number (1501108908).

Almost surely, 2^104233875120 is an apocalyptic number.

104233875120 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 104233875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180133068960).

104233875120 is an abundant number, since it is smaller than the sum of its proper divisors (256032262800).

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

104233875120 is a wasteful number, since it uses less digits than its factorization.

104233875120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 104233875120 in words is "one hundred four billion, two hundred thirty-three million, eight hundred seventy-five thousand, one hundred twenty".