105319950 has 48 divisors (see below), whose sum is σ = 266768640. Its totient is φ = 27485920.

The previous prime is 105319937. The next prime is 105319969. The reversal of 105319950 is 59913501.

It is a super-2 number, since 2×105319950² = 22184583736005000, which contains 22 as substring.

It is a Curzon number.

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, 420 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (5557680).

Almost surely, 2^105319950 is an apocalyptic number.

105319950 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 105319950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133384320).

105319950 is an abundant number, since it is smaller than the sum of its proper divisors (161448690).

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

105319950 is a wasteful number, since it uses less digits than its factorization.

105319950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15001 (or 14996 counting only the distinct ones).

The product of its (nonzero) digits is 6075, while the sum is 33.

The square root of 105319950 is about 10262.5508524928. The cubic root of 105319950 is about 472.2480950581.

The spelling of 105319950 in words is "one hundred five million, three hundred nineteen thousand, nine hundred fifty".