100032420 has 96 divisors (see below), whose sum is σ = 299811456. Its totient is φ = 24832000.

The previous prime is 100032419. The next prime is 100032433. The reversal of 100032420 is 24230001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100032396 and 100032405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102535 + ... + 103505.

It is an arithmetic number, because the mean of its divisors is an integer number (3123036).

Almost surely, 2^100032420 is an apocalyptic number.

100032420 is a gapful number since it is divisible by the number (10) 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 100032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149905728).

100032420 is an abundant number, since it is smaller than the sum of its proper divisors (199779036).

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

100032420 is a wasteful number, since it uses less digits than its factorization.

100032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100032420 is about 10001.6208686392. The cubic root of 100032420 is about 464.2090380449.

Adding to 100032420 its reverse (24230001), we get a palindrome (124262421).

The spelling of 100032420 in words is "one hundred million, thirty-two thousand, four hundred twenty".