105602285568 has 272 divisors, whose sum is σ = 307691793920. Its totient is φ = 32020365312.

The previous prime is 105602285563. The next prime is 105602285597. The reversal of 105602285568 is 865582206501.

It is a super-2 number, since 2×105602285568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (105602285563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201916155 + ... + 201916677.

Almost surely, 2^105602285568 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 105602285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153845896960).

105602285568 is an abundant number, since it is smaller than the sum of its proper divisors (202089508352).

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

105602285568 is an frugal number, since it uses more digits than its factorization.

105602285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

It can be divided in two parts, 105602 and 285568, that added together give a triangular number (391170 = T₈₈₄).

The spelling of 105602285568 in words is "one hundred five billion, six hundred two million, two hundred eighty-five thousand, five hundred sixty-eight".