100420320 has 576 divisors, whose sum is σ = 450455040. Its totient is φ = 18247680.

The previous prime is 100420291. The next prime is 100420363. The reversal of 100420320 is 23024001.

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 = 100420296 and 100420305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5285271 + ... + 5285289.

It is an arithmetic number, because the mean of its divisors is an integer number (782040).

Almost surely, 2^100420320 is an apocalyptic number.

100420320 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 100420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

100420320 is an abundant number, since it is smaller than the sum of its proper divisors (350034720).

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

100420320 is a wasteful number, since it uses less digits than its factorization.

100420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

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

The square root of 100420320 is about 10020.9939626766. The cubic root of 100420320 is about 464.8082918842.

Adding to 100420320 its reverse (23024001), we get a palindrome (123444321).

The spelling of 100420320 in words is "one hundred million, four hundred twenty thousand, three hundred twenty".