105325032 has 32 divisors (see below), whose sum is σ = 264794400. Its totient is φ = 34910784.

The previous prime is 105325009. The next prime is 105325039. The reversal of 105325032 is 230523501.

It is a super-2 number, since 2×105325032² = 22186724731602048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105325039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7963 + ... + 16554.

It is an arithmetic number, because the mean of its divisors is an integer number (8274825).

Almost surely, 2^105325032 is an apocalyptic number.

105325032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105325032 is an abundant number, since it is smaller than the sum of its proper divisors (159469368).

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

105325032 is a wasteful number, since it uses less digits than its factorization.

105325032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24705 (or 24701 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105325032 is about 10262.7984487663. The cubic root of 105325032 is about 472.2556907264.

Adding to 105325032 its reverse (230523501), we get a palindrome (335848533).

The spelling of 105325032 in words is "one hundred five million, three hundred twenty-five thousand, thirty-two".