100823337252 has 96 divisors (see below), whose sum is σ = 285419151360. Its totient is φ = 30524430240.

The previous prime is 100823337217. The next prime is 100823337253. The reversal of 100823337252 is 252733328001.

100823337252 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 233 + 372 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100823337253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271893 + ... + 1348835.

It is an arithmetic number, because the mean of its divisors is an integer number (2973116160).

Almost surely, 2^100823337252 is an apocalyptic number.

100823337252 is a gapful number since it is divisible by the number (12) 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 100823337252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142709575680).

100823337252 is an abundant number, since it is smaller than the sum of its proper divisors (184595814108).

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

100823337252 is a wasteful number, since it uses less digits than its factorization.

100823337252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78070 (or 78062 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 100823337252 in words is "one hundred billion, eight hundred twenty-three million, three hundred thirty-seven thousand, two hundred fifty-two".