10067106816 has 352 divisors, whose sum is σ = 33018601280. Its totient is φ = 3009871872.

The previous prime is 10067106793. The next prime is 10067106821. The reversal of 10067106816 is 61860176001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13298310 + ... + 13299066.

Almost surely, 2^10067106816 is an apocalyptic number.

10067106816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10067106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509300640).

10067106816 is an abundant number, since it is smaller than the sum of its proper divisors (22951494464).

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

10067106816 is a wasteful number, since it uses less digits than its factorization.

10067106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10067106816 in words is "ten billion, sixty-seven million, one hundred six thousand, eight hundred sixteen".