106286315520 has 960 divisors, whose sum is σ = 436047131520. Its totient is φ = 21916876800.

The previous prime is 106286315507. The next prime is 106286315549. The reversal of 106286315520 is 25513682601.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×106286315520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 811345855 + ... + 811345985.

It is an arithmetic number, because the mean of its divisors is an integer number (454215762).

Almost surely, 2^106286315520 is an apocalyptic number.

106286315520 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 106286315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218023565760).

106286315520 is an abundant number, since it is smaller than the sum of its proper divisors (329760816000).

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

106286315520 is an equidigital number, since it uses as much as digits as its factorization.

106286315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 106286315520 in words is "one hundred six billion, two hundred eighty-six million, three hundred fifteen thousand, five hundred twenty".