100003420 has 48 divisors (see below), whose sum is σ = 230138496. Its totient is φ = 36200000.

The previous prime is 100003417. The next prime is 100003447. The reversal of 100003420 is 24300001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100003397 and 100003406.

It is a congruent number.

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, 54315 + ... + 56125.

It is an arithmetic number, because the mean of its divisors is an integer number (4794552).

Almost surely, 2^100003420 is an apocalyptic number.

100003420 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 100003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115069248).

100003420 is an abundant number, since it is smaller than the sum of its proper divisors (130135076).

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

100003420 is a wasteful number, since it uses less digits than its factorization.

100003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 100003420 is about 10000.1709985380. The cubic root of 100003420 is about 464.1641747122.

Adding to 100003420 its reverse (24300001), we get a palindrome (124303421).

The spelling of 100003420 in words is "one hundred million, three thousand, four hundred twenty".