10321051104 has 960 divisors, whose sum is σ = 40981248000. Its totient is φ = 2523902976.

The previous prime is 10321051093. The next prime is 10321051109. The reversal of 10321051104 is 40115012301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321051109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 219596809 + ... + 219596855.

It is an arithmetic number, because the mean of its divisors is an integer number (42688800).

Almost surely, 2^10321051104 is an apocalyptic number.

10321051104 is a gapful number since it is divisible by the number (14) 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 10321051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624000).

10321051104 is an abundant number, since it is smaller than the sum of its proper divisors (30660196896).

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

10321051104 is a wasteful number, since it uses less digits than its factorization.

10321051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10321051104 its reverse (40115012301), we get a palindrome (50436063405).

The spelling of 10321051104 in words is "ten billion, three hundred twenty-one million, fifty-one thousand, one hundred four".