10153677006 has 144 divisors (see below), whose sum is σ = 25992347472. Its totient is φ = 2851960320.

The previous prime is 10153676993. The next prime is 10153677013. The reversal of 10153677006 is 60077635101.

10153677006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 2478696 + ... + 2482788.

It is an arithmetic number, because the mean of its divisors is an integer number (180502413).

Almost surely, 2^10153677006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10153677006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996173736).

10153677006 is an abundant number, since it is smaller than the sum of its proper divisors (15838670466).

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

10153677006 is a wasteful number, since it uses less digits than its factorization.

10153677006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10153677006 in words is "ten billion, one hundred fifty-three million, six hundred seventy-seven thousand, six".