105965256642 has 96 divisors (see below), whose sum is σ = 254500564032. Its totient is φ = 29309607936.

The previous prime is 105965256583. The next prime is 105965256713. The reversal of 105965256642 is 246652569501.

It is a super-2 number, since 2×105965256642² (a number of 23 digits) contains 22 as substring.

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, 1391458 + ... + 1465634.

It is an arithmetic number, because the mean of its divisors is an integer number (2651047542).

Almost surely, 2^105965256642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105965256642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127250282016).

105965256642 is an abundant number, since it is smaller than the sum of its proper divisors (148535307390).

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

105965256642 is a wasteful number, since it uses less digits than its factorization.

105965256642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74352 (or 74345 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 105965256642 in words is "one hundred five billion, nine hundred sixty-five million, two hundred fifty-six thousand, six hundred forty-two".