105225244050 has 96 divisors (see below), whose sum is σ = 263496849408. Its totient is φ = 27787576320.

The previous prime is 105225244043. The next prime is 105225244087. The reversal of 105225244050 is 50442522501.

It is a super-2 number, since 2×105225244050² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105225243999 and 105225244017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28185984 + ... + 28189716.

It is an arithmetic number, because the mean of its divisors is an integer number (2744758848).

Almost surely, 2^105225244050 is an apocalyptic number.

105225244050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105225244050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131748424704).

105225244050 is an abundant number, since it is smaller than the sum of its proper divisors (158271605358).

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

105225244050 is a wasteful number, since it uses less digits than its factorization.

105225244050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 105225244050 its reverse (50442522501), we get a palindrome (155667766551).

The spelling of 105225244050 in words is "one hundred five billion, two hundred twenty-five million, two hundred forty-four thousand, fifty".