105221422308024 has 256 divisors, whose sum is σ = 323748421056000. Its totient is φ = 31396118814720.

The previous prime is 105221422308007. The next prime is 105221422308077. The reversal of 105221422308024 is 420803224122501.

105221422308024 is a `hidden beast` number, since 1 + 0 + 5 + 221 + 422 + 3 + 0 + 8 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×105221422308024² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105221422308024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380171352 + ... + 380448024.

It is an arithmetic number, because the mean of its divisors is an integer number (1264642269750).

Almost surely, 2^{105221422308024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105221422308024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161874210528000).

105221422308024 is an abundant number, since it is smaller than the sum of its proper divisors (218526998747976).

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

105221422308024 is a wasteful number, since it uses less digits than its factorization.

105221422308024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279155 (or 279145 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 105221422308024 in words is "one hundred five trillion, two hundred twenty-one billion, four hundred twenty-two million, three hundred eight thousand, twenty-four".