105894091520 has 144 divisors (see below), whose sum is σ = 296956473408. Its totient is φ = 35420897280.

The previous prime is 105894091507. The next prime is 105894091603. The reversal of 105894091520 is 25190498501.

It is a super-2 number, since 2×105894091520² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 223232 + ... + 511488.

It is an arithmetic number, because the mean of its divisors is an integer number (2062197732).

Almost surely, 2^105894091520 is an apocalyptic number.

105894091520 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 105894091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148478236704).

105894091520 is an abundant number, since it is smaller than the sum of its proper divisors (191062381888).

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

105894091520 is an equidigital number, since it uses as much as digits as its factorization.

105894091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288326 (or 288312 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 105894091520 in words is "one hundred five billion, eight hundred ninety-four million, ninety-one thousand, five hundred twenty".