105455221504 has 144 divisors (see below), whose sum is σ = 226180291680. Its totient is φ = 48925900800.

The previous prime is 105455221441. The next prime is 105455221507. The reversal of 105455221504 is 405122554501.

105455221504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105455221504² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105455221504.

It is not an unprimeable number, because it can be changed into a prime (105455221507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47651502 + ... + 47653714.

It is an arithmetic number, because the mean of its divisors is an integer number (1570696470).

Almost surely, 2^105455221504 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 105455221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113090145840).

105455221504 is an abundant number, since it is smaller than the sum of its proper divisors (120725070176).

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

105455221504 is a wasteful number, since it uses less digits than its factorization.

105455221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 105455221504 in words is "one hundred five billion, four hundred fifty-five million, two hundred twenty-one thousand, five hundred four".