105328032 has 48 divisors (see below), whose sum is σ = 279361152. Its totient is φ = 34744320.

The previous prime is 105328021. The next prime is 105328037. The reversal of 105328032 is 230823501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105328032² = 22187988649986048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105327993 and 105328011.

It is not an unprimeable number, because it can be changed into a prime (105328037) 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, 3657 + ... + 14967.

It is an arithmetic number, because the mean of its divisors is an integer number (5820024).

Almost surely, 2^105328032 is an apocalyptic number.

105328032 is a gapful number since it is divisible by the number (12) 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 105328032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139680576).

105328032 is an abundant number, since it is smaller than the sum of its proper divisors (174033120).

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

105328032 is a wasteful number, since it uses less digits than its factorization.

105328032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11421 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105328032 is about 10262.9446066906. The cubic root of 105328032 is about 472.2601744773.

The spelling of 105328032 in words is "one hundred five million, three hundred twenty-eight thousand, thirty-two".