105867328020 has 96 divisors (see below), whose sum is σ = 298644192000. Its totient is φ = 28020562944.

The previous prime is 105867328009. The next prime is 105867328031. The reversal of 105867328020 is 20823768501.

It is an interprime number because it is at equal distance from previous prime (105867328009) and next prime (105867328031).

It is a super-2 number, since 2×105867328020² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14362896 + ... + 14370264.

It is an arithmetic number, because the mean of its divisors is an integer number (3110877000).

Almost surely, 2^105867328020 is an apocalyptic number.

105867328020 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 105867328020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149322096000).

105867328020 is an abundant number, since it is smaller than the sum of its proper divisors (192776863980).

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

105867328020 is a wasteful number, since it uses less digits than its factorization.

105867328020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 105867328020 in words is "one hundred five billion, eight hundred sixty-seven million, three hundred twenty-eight thousand, twenty".