104220768960 has 1120 divisors, whose sum is σ = 468769720320. Its totient is φ = 21349785600.

The previous prime is 104220768931. The next prime is 104220768961. The reversal of 104220768960 is 69867022401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×104220768960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104220768961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157671030 + ... + 157671690.

Almost surely, 2^104220768960 is an apocalyptic number.

104220768960 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 104220768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234384860160).

104220768960 is an abundant number, since it is smaller than the sum of its proper divisors (364548951360).

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

104220768960 is a wasteful number, since it uses less digits than its factorization.

104220768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 104220768960 in words is "one hundred four billion, two hundred twenty million, seven hundred sixty-eight thousand, nine hundred sixty".