10104124032 has 160 divisors (see below), whose sum is σ = 30370576500. Its totient is φ = 3334348800.

The previous prime is 10104123989. The next prime is 10104124049. The reversal of 10104124032 is 23042140101.

It can be written as a sum of positive squares in 2 ways, for example, as 10059287616 + 44836416 = 100296^2 + 6696^2 .

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 = 10104123996 and 10104124014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1042344 + ... + 1051992.

Almost surely, 2^10104124032 is an apocalyptic number.

10104124032 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 10104124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185288250).

10104124032 is an abundant number, since it is smaller than the sum of its proper divisors (20266452468).

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

10104124032 is an equidigital number, since it uses as much as digits as its factorization.

10104124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10104124032 its reverse (23042140101), we get a palindrome (33146264133).

The spelling of 10104124032 in words is "ten billion, one hundred four million, one hundred twenty-four thousand, thirty-two".