105226278360 has 128 divisors (see below), whose sum is σ = 381997969920. Its totient is φ = 22636910592.

The previous prime is 105226278331. The next prime is 105226278361. The reversal of 105226278360 is 63872622501.

It is a super-2 number, since 2×105226278360² (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 (105226278361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3670114 + ... + 3698673.

It is an arithmetic number, because the mean of its divisors is an integer number (2984359140).

Almost surely, 2^105226278360 is an apocalyptic number.

105226278360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105226278360 is an abundant number, since it is smaller than the sum of its proper divisors (276771691560).

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

105226278360 is a wasteful number, since it uses less digits than its factorization.

105226278360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368825 (or 7368821 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 105226278360 in words is "one hundred five billion, two hundred twenty-six million, two hundred seventy-eight thousand, three hundred sixty".