100470902820 has 96 divisors (see below), whose sum is σ = 285942182400. Its totient is φ = 26354425344.

The previous prime is 100470902803. The next prime is 100470902849. The reversal of 100470902820 is 28209074001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235662 + ... + 1314458.

It is an arithmetic number, because the mean of its divisors is an integer number (2978564400).

Almost surely, 2^100470902820 is an apocalyptic number.

100470902820 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 100470902820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142971091200).

100470902820 is an abundant number, since it is smaller than the sum of its proper divisors (185471279580).

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

100470902820 is a wasteful number, since it uses less digits than its factorization.

100470902820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79157 (or 79155 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 100470902820 its reverse (28209074001), we get a palindrome (128679976821).

The spelling of 100470902820 in words is "one hundred billion, four hundred seventy million, nine hundred two thousand, eight hundred twenty".