10057101824 has 180 divisors, whose sum is σ = 25701272982. Its totient is φ = 3917168640.

The previous prime is 10057101811. The next prime is 10057101829. The reversal of 10057101824 is 42810175001.

It can be written as a sum of positive squares in only one way, i.e., 6412806400 + 3644295424 = 80080^2 + 60368^2 .

It is a super-2 number, since 2×10057101824² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10057101829) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3033992 + ... + 3037304.

Almost surely, 2^10057101824 is an apocalyptic number.

10057101824 is a gapful number since it is divisible by the number (14) 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 10057101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850636491).

10057101824 is an abundant number, since it is smaller than the sum of its proper divisors (15644171158).

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

10057101824 is an equidigital number, since it uses as much as digits as its factorization.

10057101824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

Adding to 10057101824 its reverse (42810175001), we get a palindrome (52867276825).

The spelling of 10057101824 in words is "ten billion, fifty-seven million, one hundred one thousand, eight hundred twenty-four".