105155304450 has 192 divisors, whose sum is σ = 303957688320. Its totient is φ = 23560992000.

The previous prime is 105155304403. The next prime is 105155304451. The reversal of 105155304450 is 54403551501.

It is a super-2 number, since 2×105155304450² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105155304451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19916911 + ... + 19922189.

It is an arithmetic number, because the mean of its divisors is an integer number (1583112960).

Almost surely, 2^105155304450 is an apocalyptic number.

105155304450 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 105155304450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151978844160).

105155304450 is an abundant number, since it is smaller than the sum of its proper divisors (198802383870).

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

105155304450 is a wasteful number, since it uses less digits than its factorization.

105155304450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

Adding to 105155304450 its reverse (54403551501), we get a palindrome (159558855951).

The spelling of 105155304450 in words is "one hundred five billion, one hundred fifty-five million, three hundred four thousand, four hundred fifty".