100403820 has 96 divisors (see below), whose sum is σ = 340784640. Its totient is φ = 24338880.

The previous prime is 100403803. The next prime is 100403843. The reversal of 100403820 is 28304001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100403793 and 100403802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (3549840).

Almost surely, 2^100403820 is an apocalyptic number.

100403820 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 100403820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170392320).

100403820 is an abundant number, since it is smaller than the sum of its proper divisors (240380820).

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

100403820 is a wasteful number, since it uses less digits than its factorization.

100403820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16932 (or 16924 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100403820 is about 10020.1706572293. The cubic root of 100403820 is about 464.7828330365.

Adding to 100403820 its reverse (28304001), we get a palindrome (128707821).

The spelling of 100403820 in words is "one hundred million, four hundred three thousand, eight hundred twenty".