10023741200 has 120 divisors (see below), whose sum is σ = 26604785280. Its totient is φ = 3598732800.

The previous prime is 10023741197. The next prime is 10023741227. The reversal of 10023741200 is 214732001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333182 + ... + 362018.

It is an arithmetic number, because the mean of its divisors is an integer number (221706544).

Almost surely, 2^10023741200 is an apocalyptic number.

10023741200 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 10023741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302392640).

10023741200 is an abundant number, since it is smaller than the sum of its proper divisors (16581044080).

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

10023741200 is a wasteful number, since it uses less digits than its factorization.

10023741200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28945 (or 28934 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The spelling of 10023741200 in words is "ten billion, twenty-three million, seven hundred forty-one thousand, two hundred".