105665063640 has 192 divisors, whose sum is σ = 328424025600. Its totient is φ = 27195759360.

The previous prime is 105665063639. The next prime is 105665063653. The reversal of 105665063640 is 46360566501.

It is a super-2 number, since 2×105665063640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105665063592 and 105665063601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53392171 + ... + 53394149.

It is an arithmetic number, because the mean of its divisors is an integer number (1710541800).

Almost surely, 2^105665063640 is an apocalyptic number.

105665063640 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 105665063640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164212012800).

105665063640 is an abundant number, since it is smaller than the sum of its proper divisors (222758961960).

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

105665063640 is a wasteful number, since it uses less digits than its factorization.

105665063640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 105665063640 in words is "one hundred five billion, six hundred sixty-five million, sixty-three thousand, six hundred forty".