105883050 has 96 divisors (see below), whose sum is σ = 323229312. Its totient is φ = 22337280.

The previous prime is 105883049. The next prime is 105883061. The reversal of 105883050 is 50388501.

It is a happy number.

It is a super-2 number, since 2×105883050² = 22422440554605000, which 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 = 105882999 and 105883017.

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, 9772 + ... + 17528.

It is an arithmetic number, because the mean of its divisors is an integer number (3366972).

Almost surely, 2^105883050 is an apocalyptic number.

105883050 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 105883050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161614656).

105883050 is an abundant number, since it is smaller than the sum of its proper divisors (217346262).

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

105883050 is a wasteful number, since it uses less digits than its factorization.

105883050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105883050 is about 10289.9489794654. The cubic root of 105883050 is about 473.0882346528.

The spelling of 105883050 in words is "one hundred five million, eight hundred eighty-three thousand, fifty".