823952100 has 144 divisors (see below), whose sum is σ = 2590945280. Its totient is φ = 201398400.

The previous prime is 823952099. The next prime is 823952153. The reversal of 823952100 is 1259328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174369 + ... + 179031.

Almost surely, 2^823952100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823952100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295472640).

823952100 is an abundant number, since it is smaller than the sum of its proper divisors (1766993180).

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

823952100 is a wasteful number, since it uses less digits than its factorization.

823952100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 823952100 is about 28704.5658389044. The cubic root of 823952100 is about 937.4914630334.

The spelling of 823952100 in words is "eight hundred twenty-three million, nine hundred fifty-two thousand, one hundred".