105519147936 has 24 divisors (see below), whose sum is σ = 276987763584. Its totient is φ = 35173049280.

The previous prime is 105519147913. The next prime is 105519147953. The reversal of 105519147936 is 639741915501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105519147936² (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 3 ways as a sum of consecutive naturals, for example, 549578800 + ... + 549578991.

It is an arithmetic number, because the mean of its divisors is an integer number (11541156816).

Almost surely, 2^105519147936 is an apocalyptic number.

105519147936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105519147936 is an abundant number, since it is smaller than the sum of its proper divisors (171468615648).

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

105519147936 is a wasteful number, since it uses less digits than its factorization.

105519147936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099157804 (or 1099157796 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 105519147936 in words is "one hundred five billion, five hundred nineteen million, one hundred forty-seven thousand, nine hundred thirty-six".