10217043072 has 96 divisors (see below), whose sum is σ = 30678972480. Its totient is φ = 3257599488.

The previous prime is 10217043047. The next prime is 10217043097. The reversal of 10217043072 is 27034071201.

It is a happy number.

10217043072 is a `hidden beast` number, since 10 + 217 + 0 + 430 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10217043047) and next prime (10217043097).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166308 + ... + 219299.

It is an arithmetic number, because the mean of its divisors is an integer number (319572630).

Almost surely, 2^10217043072 is an apocalyptic number.

10217043072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10217043072 is an abundant number, since it is smaller than the sum of its proper divisors (20461929408).

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

10217043072 is a wasteful number, since it uses less digits than its factorization.

10217043072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385650 (or 385635 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10217043072 in words is "ten billion, two hundred seventeen million, forty-three thousand, seventy-two".