105232032 has 72 divisors (see below), whose sum is σ = 315020160. Its totient is φ = 33229440.

The previous prime is 105232021. The next prime is 105232037. The reversal of 105232032 is 230232501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105232032² = 22147561117698048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105231996 and 105232014.

It is not an unprimeable number, because it can be changed into a prime (105232037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4144 + ... + 15087.

It is an arithmetic number, because the mean of its divisors is an integer number (4375280).

Almost surely, 2^105232032 is an apocalyptic number.

105232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105232032 is an abundant number, since it is smaller than the sum of its proper divisors (209788128).

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

105232032 is a wasteful number, since it uses less digits than its factorization.

105232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266 (or 19255 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105232032 is about 10258.2665202265. The cubic root of 105232032 is about 472.1166521980.

Adding to 105232032 its reverse (230232501), we get a palindrome (335464533).

The spelling of 105232032 in words is "one hundred five million, two hundred thirty-two thousand, thirty-two".