100305432 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 31667328.

The previous prime is 100305419. The next prime is 100305433. The reversal of 100305432 is 234503001.

It is a super-2 number, since 2×100305432² = 20122359377413248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100305433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 419569 + ... + 419807.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^100305432 is an apocalyptic number.

100305432 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 100305432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

100305432 is an abundant number, since it is smaller than the sum of its proper divisors (193454568).

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

100305432 is a wasteful number, since it uses less digits than its factorization.

100305432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

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

The square root of 100305432 is about 10015.2599566861. The cubic root of 100305432 is about 464.6309663097.

Adding to 100305432 its reverse (234503001), we get a palindrome (334808433).

The spelling of 100305432 in words is "one hundred million, three hundred five thousand, four hundred thirty-two".