10237427200 has 960 divisors, whose sum is σ = 36825643008. Its totient is φ = 2713190400.

The previous prime is 10237427129. The next prime is 10237427209. The reversal of 10237427200 is 272473201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10237427209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217817577 + ... + 217817623.

Almost surely, 2^10237427200 is an apocalyptic number.

10237427200 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 10237427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18412821504).

10237427200 is an abundant number, since it is smaller than the sum of its proper divisors (26588215808).

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

10237427200 is a wasteful number, since it uses less digits than its factorization.

10237427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 10237427200 in words is "ten billion, two hundred thirty-seven million, four hundred twenty-seven thousand, two hundred".