100023200000 has 108 divisors (see below), whose sum is σ = 249555628980. Its totient is φ = 40008960000.

The previous prime is 100023199981. The next prime is 100023200003. The reversal of 100023200000 is 2320001.

It can be written as a sum of positive squares in 6 ways, for example, as 80628738304 + 19394461696 = 283952^2 + 139264^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100023200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737486 + ... + 862514.

Almost surely, 2^100023200000 is an apocalyptic number.

100023200000 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 100023200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124777814490).

100023200000 is an abundant number, since it is smaller than the sum of its proper divisors (149532428980).

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

100023200000 is an frugal number, since it uses more digits than its factorization.

100023200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125070 (or 125036 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 100023200000 its reverse (2320001), we get a palindrome (100025520001).

The spelling of 100023200000 in words is "one hundred billion, twenty-three million, two hundred thousand".