10244145600 has 1344 divisors, whose sum is σ = 45240854400. Its totient is φ = 2229534720.

The previous prime is 10244145589. The next prime is 10244145623. The reversal of 10244145600 is 654144201.

10244145600 is a `hidden beast` number, since 1 + 0 + 2 + 44 + 14 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276868782 + ... + 276868818.

It is an arithmetic number, because the mean of its divisors is an integer number (33661350).

Almost surely, 2^10244145600 is an apocalyptic number.

10244145600 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 10244145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22620427200).

10244145600 is an abundant number, since it is smaller than the sum of its proper divisors (34996708800).

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

10244145600 is a wasteful number, since it uses less digits than its factorization.

10244145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10244145600 its reverse (654144201), we get a palindrome (10898289801).

The spelling of 10244145600 in words is "ten billion, two hundred forty-four million, one hundred forty-five thousand, six hundred".