105019347224 has 48 divisors (see below), whose sum is σ = 218515534920. Its totient is φ = 46926844160.

The previous prime is 105019347221. The next prime is 105019347247. The reversal of 105019347224 is 422743910501.

105019347224 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 2×105019347224² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105019347221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134912 + ... + 477744.

Almost surely, 2^105019347224 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 105019347224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109257767460).

105019347224 is an abundant number, since it is smaller than the sum of its proper divisors (113496187696).

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

105019347224 is a wasteful number, since it uses less digits than its factorization.

105019347224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342968 (or 342905 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 105019347224 in words is "one hundred five billion, nineteen million, three hundred forty-seven thousand, two hundred twenty-four".