100332420 has 48 divisors (see below), whose sum is σ = 282746688. Its totient is φ = 26582400.

The previous prime is 100332377. The next prime is 100332469. The reversal of 100332420 is 24233001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100332420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095 + ... + 14745.

It is an arithmetic number, because the mean of its divisors is an integer number (5890556).

Almost surely, 2^100332420 is an apocalyptic number.

100332420 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 100332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141373344).

100332420 is an abundant number, since it is smaller than the sum of its proper divisors (182414268).

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

100332420 is a wasteful number, since it uses less digits than its factorization.

100332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10820 (or 10818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 100332420 is about 10016.6072100288. The cubic root of 100332420 is about 464.6726334984.

Adding to 100332420 its reverse (24233001), we get a palindrome (124565421).

It can be divided in two parts, 100 and 332420, that added together give a triangular number (332520 = T₈₁₅).

The spelling of 100332420 in words is "one hundred million, three hundred thirty-two thousand, four hundred twenty".