104722720128 has 768 divisors, whose sum is σ = 363646483200. Its totient is φ = 29722484736.

The previous prime is 104722720121. The next prime is 104722720133. The reversal of 104722720128 is 821027227401.

It is a super-2 number, since 2×104722720128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104722720092 and 104722720101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104722720121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330355426 + ... + 330355742.

It is an arithmetic number, because the mean of its divisors is an integer number (473498025).

Almost surely, 2^104722720128 is an apocalyptic number.

104722720128 is a gapful number since it is divisible by the number (18) 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 104722720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181823241600).

104722720128 is an abundant number, since it is smaller than the sum of its proper divisors (258923763072).

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

104722720128 is a wasteful number, since it uses less digits than its factorization.

104722720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Adding to 104722720128 its reverse (821027227401), we get a palindrome (925749947529).

The spelling of 104722720128 in words is "one hundred four billion, seven hundred twenty-two million, seven hundred twenty thousand, one hundred twenty-eight".