10104333120 has 672 divisors, whose sum is σ = 42947539200. Its totient is φ = 2227212288.

The previous prime is 10104333119. The next prime is 10104333131. The reversal of 10104333120 is 2133340101.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 10104333093 and 10104333102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12277029 + ... + 12277851.

Almost surely, 2^10104333120 is an apocalyptic number.

10104333120 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 10104333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21473769600).

10104333120 is an abundant number, since it is smaller than the sum of its proper divisors (32843206080).

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

10104333120 is a wasteful number, since it uses less digits than its factorization.

10104333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10104333120 its reverse (2133340101), we get a palindrome (12237673221).

The spelling of 10104333120 in words is "ten billion, one hundred four million, three hundred thirty-three thousand, one hundred twenty".