105764221628480 has 168 divisors, whose sum is σ = 266384751504768. Its totient is φ = 39977784641536.

The previous prime is 105764221628477. The next prime is 105764221628503. The reversal of 105764221628480 is 84826122467501.

It is a happy number.

It is a super-2 number, since 2×105764221628480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8467787 + ... + 16829493.

Almost surely, 2^{105764221628480} is an apocalyptic number.

105764221628480 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 105764221628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133192375752384).

105764221628480 is an abundant number, since it is smaller than the sum of its proper divisors (160620529876288).

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

105764221628480 is an equidigital number, since it uses as much as digits as its factorization.

105764221628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361829 (or 8361790 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 105764221628480 in words is "one hundred five trillion, seven hundred sixty-four billion, two hundred twenty-one million, six hundred twenty-eight thousand, four hundred eighty".