10507620006 has 24 divisors (see below), whose sum is σ = 24517780560. Its totient is φ = 3233113776.

The previous prime is 10507619971. The next prime is 10507620007. The reversal of 10507620006 is 60002670501.

10507620006 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 2×10507620006² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507620007) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22451946 + ... + 22452413.

It is an arithmetic number, because the mean of its divisors is an integer number (1021574190).

Almost surely, 2^10507620006 is an apocalyptic number.

10507620006 is an abundant number, since it is smaller than the sum of its proper divisors (14010160554).

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

10507620006 is a wasteful number, since it uses less digits than its factorization.

10507620006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44904380 (or 44904377 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10507620006 in words is "ten billion, five hundred seven million, six hundred twenty thousand, six".