105963093888 has 64 divisors (see below), whose sum is σ = 281532643920. Its totient is φ = 35312476160.

The previous prime is 105963093877. The next prime is 105963093913. The reversal of 105963093888 is 888390369501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105963093888² (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666456 + ... + 1728872.

Almost surely, 2^105963093888 is an apocalyptic number.

It is an amenable number.

105963093888 is an abundant number, since it is smaller than the sum of its proper divisors (175569550032).

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

105963093888 is an equidigital number, since it uses as much as digits as its factorization.

105963093888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66855 (or 66843 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 105963093888 in words is "one hundred five billion, nine hundred sixty-three million, ninety-three thousand, eight hundred eighty-eight".