104121117352 has 192 divisors, whose sum is σ = 243018921600. Its totient is φ = 40839552000.

The previous prime is 104121117307. The next prime is 104121117367. The reversal of 104121117352 is 253711121401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 104121117352.

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, 575254702 + ... + 575254882.

It is an arithmetic number, because the mean of its divisors is an integer number (1265723550).

Almost surely, 2^104121117352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104121117352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121509460800).

104121117352 is an abundant number, since it is smaller than the sum of its proper divisors (138897804248).

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

104121117352 is a wasteful number, since it uses less digits than its factorization.

104121117352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 104121117352 its reverse (253711121401), we get a palindrome (357832238753).

The spelling of 104121117352 in words is "one hundred four billion, one hundred twenty-one million, one hundred seventeen thousand, three hundred fifty-two".