10124137760 has 144 divisors (see below), whose sum is σ = 26398073016. Its totient is φ = 3666432000.

The previous prime is 10124137741. The next prime is 10124137763. The reversal of 10124137760 is 6773142101.

It can be written as a sum of positive squares in 4 ways, for example, as 5418726544 + 4705411216 = 73612^2 + 68596^2 .

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 (10124137763) 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, 5439230 + ... + 5441090.

Almost surely, 2^10124137760 is an apocalyptic number.

10124137760 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 10124137760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199036508).

10124137760 is an abundant number, since it is smaller than the sum of its proper divisors (16273935256).

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

10124137760 is a wasteful number, since it uses less digits than its factorization.

10124137760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

Adding to 10124137760 its reverse (6773142101), we get a palindrome (16897279861).

The spelling of 10124137760 in words is "ten billion, one hundred twenty-four million, one hundred thirty-seven thousand, seven hundred sixty".