105325100 has 36 divisors (see below), whose sum is σ = 236443200. Its totient is φ = 40676160.

The previous prime is 105325097. The next prime is 105325109. The reversal of 105325100 is 1523501.

It is a super-2 number, since 2×105325100² = 22186753380020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105325109) 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 11 ways as a sum of consecutive naturals, for example, 15260 + ... + 21059.

Almost surely, 2^105325100 is an apocalyptic number.

105325100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105325100 is an abundant number, since it is smaller than the sum of its proper divisors (131118100).

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

105325100 is a wasteful number, since it uses less digits than its factorization.

105325100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36362 (or 36355 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105325100 is about 10262.8017617023. The cubic root of 105325100 is about 472.2557923591.

Adding to 105325100 its reverse (1523501), we get a palindrome (106848601).

The spelling of 105325100 in words is "one hundred five million, three hundred twenty-five thousand, one hundred".