10724016100 has 72 divisors (see below), whose sum is σ = 27995360960. Its totient is φ = 3483285120.

The previous prime is 10724016059. The next prime is 10724016167. The reversal of 10724016100 is 161042701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389859 + ... + 416458.

Almost surely, 2^10724016100 is an apocalyptic number.

10724016100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10724016100 is an abundant number, since it is smaller than the sum of its proper divisors (17271344860).

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

10724016100 is a wasteful number, since it uses less digits than its factorization.

10724016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806357 (or 806350 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10724016100 its reverse (161042701), we get a palindrome (10885058801).

The spelling of 10724016100 in words is "ten billion, seven hundred twenty-four million, sixteen thousand, one hundred".