105330971648 has 88 divisors (see below), whose sum is σ = 241675566912. Its totient is φ = 44947390464.

The previous prime is 105330971639. The next prime is 105330971663. The reversal of 105330971648 is 846179033501.

It is a happy number.

It is a super-2 number, since 2×105330971648² (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 7 ways as a sum of consecutive naturals, for example, 1638611 + ... + 1701677.

Almost surely, 2^105330971648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105330971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120837783456).

105330971648 is an abundant number, since it is smaller than the sum of its proper divisors (136344595264).

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

105330971648 is an equidigital number, since it uses as much as digits as its factorization.

105330971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63327 (or 63309 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 105330971648 in words is "one hundred five billion, three hundred thirty million, nine hundred seventy-one thousand, six hundred forty-eight".