105235000 has 80 divisors (see below), whose sum is σ = 265696200. Its totient is φ = 38832000.

The previous prime is 105234971. The next prime is 105235007. The reversal of 105235000 is 532501.

It is a super-2 number, since 2×105235000² = 22148810450000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105235007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 64191 + ... + 65809.

Almost surely, 2^105235000 is an apocalyptic number.

105235000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848100).

105235000 is an abundant number, since it is smaller than the sum of its proper divisors (160461200).

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

105235000 is a wasteful number, since it uses less digits than its factorization.

105235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105235000 is about 10258.4111830244. The cubic root of 105235000 is about 472.1210907358.

Adding to 105235000 its reverse (532501), we get a palindrome (105767501).

The spelling of 105235000 in words is "one hundred five million, two hundred thirty-five thousand".