105325300 has 36 divisors (see below), whose sum is σ = 229008780. Its totient is φ = 42046720.

The previous prime is 105325289. The next prime is 105325301. The reversal of 105325300 is 3523501.

105325300 = 82² + 83² + ... + 681².

It can be written as a sum of positive squares in 6 ways, for example, as 19873764 + 85451536 = 4458^2 + 9244^2 .

It is a super-2 number, since 2×105325300² = 22186837640180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105325301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85086 + ... + 86314.

It is an arithmetic number, because the mean of its divisors is an integer number (6361355).

Almost surely, 2^105325300 is an apocalyptic number.

105325300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105325300 is an abundant number, since it is smaller than the sum of its proper divisors (123683480).

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

105325300 is a wasteful number, since it uses less digits than its factorization.

105325300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 105325300 is about 10262.8115056255. The cubic root of 105325300 is about 472.2560912783.

Adding to 105325300 its reverse (3523501), we get a palindrome (108848801).

It can be divided in two parts, 105325 and 300, that added together give a square (105625 = 325²).

The spelling of 105325300 in words is "one hundred five million, three hundred twenty-five thousand, three hundred".