105310950 has 48 divisors (see below), whose sum is σ = 264506880. Its totient is φ = 27724320.

The previous prime is 105310943. The next prime is 105310979. The reversal of 105310950 is 59013501.

It is a super-2 number, since 2×105310950² = 22180792379805000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105310950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7407 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (5510560).

Almost surely, 2^105310950 is an apocalyptic number.

105310950 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 105310950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132253440).

105310950 is an abundant number, since it is smaller than the sum of its proper divisors (159195930).

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

105310950 is a wasteful number, since it uses less digits than its factorization.

105310950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 24.

The square root of 105310950 is about 10262.1123556508. The cubic root of 105310950 is about 472.2346428618.

The spelling of 105310950 in words is "one hundred five million, three hundred ten thousand, nine hundred fifty".