101830032 has 30 divisors (see below), whose sum is σ = 284983062. Its totient is φ = 33943296.

The previous prime is 101830007. The next prime is 101830033. The reversal of 101830032 is 230038101.

It can be written as a sum of positive squares in only one way, i.e., 94012416 + 7817616 = 9696^2 + 2796^2 .

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 = 101829987 and 101830014.

It is not an unprimeable number, because it can be changed into a prime (101830033) 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 5 ways as a sum of consecutive naturals, for example, 353433 + ... + 353720.

Almost surely, 2^101830032 is an apocalyptic number.

101830032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101830032 is an abundant number, since it is smaller than the sum of its proper divisors (183153030).

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

101830032 is a wasteful number, since it uses less digits than its factorization.

101830032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707167 (or 707158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101830032 is about 10091.0867601067. The cubic root of 101830032 is about 466.9732035912.

Adding to 101830032 its reverse (230038101), we get a palindrome (331868133).

The spelling of 101830032 in words is "one hundred one million, eight hundred thirty thousand, thirty-two".