105322050 has 72 divisors (see below), whose sum is σ = 289599024. Its totient is φ = 27427680.

The previous prime is 105322033. The next prime is 105322067. The reversal of 105322050 is 50223501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105322033) and next prime (105322067).

It is a super-2 number, since 2×105322050² = 22185468432405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16629 + ... + 22071.

Almost surely, 2^105322050 is an apocalyptic number.

105322050 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 105322050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144799512).

105322050 is an abundant number, since it is smaller than the sum of its proper divisors (184276974).

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

105322050 is a wasteful number, since it uses less digits than its factorization.

105322050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105322050 is about 10262.6531657267. The cubic root of 105322050 is about 472.2512337937.

Adding to 105322050 its reverse (50223501), we get a palindrome (155545551).

The spelling of 105322050 in words is "one hundred five million, three hundred twenty-two thousand, fifty".