105254214060 has 72 divisors (see below), whose sum is σ = 301725270000. Its totient is φ = 27415022208.

The previous prime is 105254214007. The next prime is 105254214067. The reversal of 105254214060 is 60412452501.

It is a super-2 number, since 2×105254214060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105254214067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363435 + ... + 585314.

It is an arithmetic number, because the mean of its divisors is an integer number (4190628750).

Almost surely, 2^105254214060 is an apocalyptic number.

105254214060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105254214060 is an abundant number, since it is smaller than the sum of its proper divisors (196471055940).

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

105254214060 is a wasteful number, since it uses less digits than its factorization.

105254214060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948847 (or 948802 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 105254214060 its reverse (60412452501), we get a palindrome (165666666561).

The spelling of 105254214060 in words is "one hundred five billion, two hundred fifty-four million, two hundred fourteen thousand, sixty".