10107522720 has 576 divisors, whose sum is σ = 39739714560. Its totient is φ = 2322432000.

The previous prime is 10107522683. The next prime is 10107522731. The reversal of 10107522720 is 2722570101.

10107522720 is a `hidden beast` number, since 10 + 107 + 522 + 7 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14418370 + ... + 14419070.

It is an arithmetic number, because the mean of its divisors is an integer number (68992560).

Almost surely, 2^10107522720 is an apocalyptic number.

10107522720 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 10107522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869857280).

10107522720 is an abundant number, since it is smaller than the sum of its proper divisors (29632191840).

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

10107522720 is a wasteful number, since it uses less digits than its factorization.

10107522720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 10107522720 in words is "ten billion, one hundred seven million, five hundred twenty-two thousand, seven hundred twenty".