10104120032 has 96 divisors (see below), whose sum is σ = 20851665408. Its totient is φ = 4815360000.

The previous prime is 10104120031. The next prime is 10104120049. The reversal of 10104120032 is 23002140101.

It is a junction number, because it is equal to n+sod(n) for n = 10104119989 and 10104120016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104120031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15285782 + ... + 15286442.

It is an arithmetic number, because the mean of its divisors is an integer number (217204848).

Almost surely, 2^10104120032 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 10104120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425832704).

10104120032 is an abundant number, since it is smaller than the sum of its proper divisors (10747545376).

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

10104120032 is a wasteful number, since it uses less digits than its factorization.

10104120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10104120032 its reverse (23002140101), we get a palindrome (33106260133).

The spelling of 10104120032 in words is "ten billion, one hundred four million, one hundred twenty thousand, thirty-two".