105052050 has 72 divisors (see below), whose sum is σ = 288302976. Its totient is φ = 27412320.

The previous prime is 105052043. The next prime is 105052111. The reversal of 105052050 is 50250501.

It is a super-2 number, since 2×105052050² = 22071866418405000, 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18667 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (4004208).

Almost surely, 2^105052050 is an apocalyptic number.

105052050 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 105052050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144151488).

105052050 is an abundant number, since it is smaller than the sum of its proper divisors (183250926).

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

105052050 is a wasteful number, since it uses less digits than its factorization.

105052050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 105052050 is about 10249.4902312261. The cubic root of 105052050 is about 471.8473394309.

The spelling of 105052050 in words is "one hundred five million, fifty-two thousand, fifty".