101328032 has 24 divisors (see below), whose sum is σ = 214835796. Its totient is φ = 46766592.

The previous prime is 101328011. The next prime is 101328047. The reversal of 101328032 is 230823101.

It can be written as a sum of positive squares in 2 ways, for example, as 91317136 + 10010896 = 9556^2 + 3164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101327995 and 101328013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121373 + ... + 122204.

Almost surely, 2^101328032 is an apocalyptic number.

It is an amenable number.

101328032 is an abundant number, since it is smaller than the sum of its proper divisors (113507764).

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

101328032 is a wasteful number, since it uses less digits than its factorization.

101328032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243600 (or 243592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 101328032 is about 10066.1825932177. The cubic root of 101328032 is about 466.2045802416.

The spelling of 101328032 in words is "one hundred one million, three hundred twenty-eight thousand, thirty-two".