105216122880 has 1008 divisors, whose sum is σ = 426360104352. Its totient is φ = 24684134400.

The previous prime is 105216122861. The next prime is 105216122887. The reversal of 105216122880 is 88221612501.

105216122880 is a `hidden beast` number, since 1 + 0 + 521 + 6 + 122 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×105216122880² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (105216122887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3394068465 + ... + 3394068495.

It is an arithmetic number, because the mean of its divisors is an integer number (422976294).

Almost surely, 2^105216122880 is an apocalyptic number.

105216122880 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 105216122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213180052176).

105216122880 is an abundant number, since it is smaller than the sum of its proper divisors (321143981472).

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

105216122880 is an frugal number, since it uses more digits than its factorization.

105216122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 105216122880 in words is "one hundred five billion, two hundred sixteen million, one hundred twenty-two thousand, eight hundred eighty".