105300375648 has 96 divisors (see below), whose sum is σ = 315186482016. Its totient is φ = 30494220288.

The previous prime is 105300375571. The next prime is 105300375667. The reversal of 105300375648 is 846573003501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105300375648² (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 15 ways as a sum of consecutive naturals, for example, 2460411 + ... + 2502842.

It is an arithmetic number, because the mean of its divisors is an integer number (3283192521).

Almost surely, 2^105300375648 is an apocalyptic number.

It is an amenable number.

105300375648 is an abundant number, since it is smaller than the sum of its proper divisors (209886106368).

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

105300375648 is a wasteful number, since it uses less digits than its factorization.

105300375648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963296 (or 4963288 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 105300375648 in words is "one hundred five billion, three hundred million, three hundred seventy-five thousand, six hundred forty-eight".