10149245600 has 144 divisors (see below), whose sum is σ = 27187681752. Its totient is φ = 3676508160.

The previous prime is 10149245593. The next prime is 10149245609. The reversal of 10149245600 is 654294101.

It can be written as a sum of positive squares in 12 ways, for example, as 21641104 + 10127604496 = 4652^2 + 100636^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10149245609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541994 + ... + 560406.

Almost surely, 2^10149245600 is an apocalyptic number.

10149245600 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 10149245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593840876).

10149245600 is an abundant number, since it is smaller than the sum of its proper divisors (17038436152).

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

10149245600 is a wasteful number, since it uses less digits than its factorization.

10149245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18499 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 10149245600 in words is "ten billion, one hundred forty-nine million, two hundred forty-five thousand, six hundred".