105606053322 has 48 divisors (see below), whose sum is σ = 268031698272. Its totient is φ = 27430142880.

The previous prime is 105606053263. The next prime is 105606053323. The reversal of 105606053322 is 223350606501.

It is a super-3 number, since 3×105606053322³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105606053323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16324233 + ... + 16330700.

It is an arithmetic number, because the mean of its divisors is an integer number (5583993714).

Almost surely, 2^105606053322 is an apocalyptic number.

105606053322 is an abundant number, since it is smaller than the sum of its proper divisors (162425644950).

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

105606053322 is a wasteful number, since it uses less digits than its factorization.

105606053322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32654963 (or 32654956 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 105606053322 its reverse (223350606501), we get a palindrome (328956659823).

The spelling of 105606053322 in words is "one hundred five billion, six hundred six million, fifty-three thousand, three hundred twenty-two".