10067505032 has 64 divisors (see below), whose sum is σ = 20871977280. Its totient is φ = 4523081472.

The previous prime is 10067505031. The next prime is 10067505073. The reversal of 10067505032 is 23050576001.

It is a junction number, because it is equal to n+sod(n) for n = 10067504986 and 10067505004.

It is not an unprimeable number, because it can be changed into a prime (10067505031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1369238 + ... + 1376570.

It is an arithmetic number, because the mean of its divisors is an integer number (326124645).

Almost surely, 2^10067505032 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 10067505032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435988640).

10067505032 is an abundant number, since it is smaller than the sum of its proper divisors (10804472248).

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

10067505032 is a wasteful number, since it uses less digits than its factorization.

10067505032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The spelling of 10067505032 in words is "ten billion, sixty-seven million, five hundred five thousand, thirty-two".