105224252353 has 8 divisors (see below), whose sum is σ = 115109847360. Its totient is φ = 95391949680.

The previous prime is 105224252321. The next prime is 105224252359. The reversal of 105224252353 is 353252422501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105224252353 - 2⁵ = 105224252321 is a prime.

It is a super-2 number, since 2×105224252353² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105224252359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13318950 + ... + 13326847.

It is an arithmetic number, because the mean of its divisors is an integer number (14388730920).

Almost surely, 2^105224252353 is an apocalyptic number.

It is an amenable number.

105224252353 is a deficient number, since it is larger than the sum of its proper divisors (9885595007).

105224252353 is a wasteful number, since it uses less digits than its factorization.

105224252353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26646167.

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 105224252353 its reverse (353252422501), we get a palindrome (458476674854).

The spelling of 105224252353 in words is "one hundred five billion, two hundred twenty-four million, two hundred fifty-two thousand, three hundred fifty-three".