10213109632 has 64 divisors (see below), whose sum is σ = 22234192560. Its totient is φ = 4634357760.

The previous prime is 10213109617. The next prime is 10213109657. The reversal of 10213109632 is 23690131201.

10213109632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10213109632.

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 7 ways as a sum of consecutive naturals, for example, 857188 + ... + 869020.

Almost surely, 2^10213109632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117096280).

10213109632 is an abundant number, since it is smaller than the sum of its proper divisors (12021082928).

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

10213109632 is a wasteful number, since it uses less digits than its factorization.

10213109632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12471 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 10213109632 in words is "ten billion, two hundred thirteen million, one hundred nine thousand, six hundred thirty-two".