105281801268 has 48 divisors (see below), whose sum is σ = 281309736960. Its totient is φ = 30020700384.

The previous prime is 105281801267. The next prime is 105281801281. The reversal of 105281801268 is 862108182501.

105281801268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105281801268² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105281801267) 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, 1203628 + ... + 1288131.

It is an arithmetic number, because the mean of its divisors is an integer number (5860619520).

Almost surely, 2^105281801268 is an apocalyptic number.

It is an amenable number.

105281801268 is an abundant number, since it is smaller than the sum of its proper divisors (176027935692).

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

105281801268 is a wasteful number, since it uses less digits than its factorization.

105281801268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492276 (or 2492274 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

Adding to 105281801268 its reverse (862108182501), we get a palindrome (967389983769).

The spelling of 105281801268 in words is "one hundred five billion, two hundred eighty-one million, eight hundred one thousand, two hundred sixty-eight".