100300032 has 180 divisors, whose sum is σ = 342296416. Its totient is φ = 28615680.

The previous prime is 100300027. The next prime is 100300087. The reversal of 100300032 is 230003001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100299987 and 100300023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144807 + ... + 145497.

Almost surely, 2^100300032 is an apocalyptic number.

100300032 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 100300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171148208).

100300032 is an abundant number, since it is smaller than the sum of its proper divisors (241996384).

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

100300032 is an frugal number, since it uses more digits than its factorization.

100300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100300032 is about 10014.9903644487. The cubic root of 100300032 is about 464.6226282693.

Adding to 100300032 its reverse (230003001), we get a palindrome (330303033).

The spelling of 100300032 in words is "one hundred million, three hundred thousand, thirty-two".