10106067520 has 336 divisors, whose sum is σ = 27789713280. Its totient is φ = 3480846336.

The previous prime is 10106067479. The next prime is 10106067533. The reversal of 10106067520 is 2576060101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171289251 + ... + 171289309.

It is an arithmetic number, because the mean of its divisors is an integer number (82707480).

Almost surely, 2^10106067520 is an apocalyptic number.

10106067520 is a gapful number since it is divisible by the number (10) 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 10106067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894856640).

10106067520 is an abundant number, since it is smaller than the sum of its proper divisors (17683645760).

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

10106067520 is a wasteful number, since it uses less digits than its factorization.

10106067520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10106067520 in words is "ten billion, one hundred six million, sixty-seven thousand, five hundred twenty".