23162103900 has 864 divisors, whose sum is σ = 90766690560. Its totient is φ = 5061242880.

The previous prime is 23162103823. The next prime is 23162103901. The reversal of 23162103900 is 930126132.

23162103900 is a `hidden beast` number, since 2 + 3 + 1 + 621 + 0 + 39 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23162103901) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102035587 + ... + 102035813.

It is an arithmetic number, because the mean of its divisors is an integer number (105054040).

Almost surely, 2^23162103900 is an apocalyptic number.

23162103900 is a gapful number since it is divisible by the number (20) 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 23162103900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45383345280).

23162103900 is an abundant number, since it is smaller than the sum of its proper divisors (67604586660).

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

23162103900 is a wasteful number, since it uses less digits than its factorization.

23162103900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 23162103900 in words is "twenty-three billion, one hundred sixty-two million, one hundred three thousand, nine hundred".