10013072070 has 64 divisors (see below), whose sum is σ = 24769027584. Its totient is φ = 2588993280.

The previous prime is 10013072039. The next prime is 10013072081. The reversal of 10013072070 is 7027031001.

10013072070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10013072070² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175519 + ... + 225461.

It is an arithmetic number, because the mean of its divisors is an integer number (387016056).

Almost surely, 2^10013072070 is an apocalyptic number.

10013072070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013072070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384513792).

10013072070 is an abundant number, since it is smaller than the sum of its proper divisors (14755955514).

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

10013072070 is a wasteful number, since it uses less digits than its factorization.

10013072070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50157.

The product of its (nonzero) digits is 294, while the sum is 21.

The spelling of 10013072070 in words is "ten billion, thirteen million, seventy-two thousand, seventy".