105007217142 has 64 divisors (see below), whose sum is σ = 224741952000. Its totient is φ = 32593651200.

The previous prime is 105007217093. The next prime is 105007217149. The reversal of 105007217142 is 241712700501.

It is a super-2 number, since 2×105007217142² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105007217149) 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, 3618892 + ... + 3647792.

It is an arithmetic number, because the mean of its divisors is an integer number (3511593000).

Almost surely, 2^105007217142 is an apocalyptic number.

105007217142 is an abundant number, since it is smaller than the sum of its proper divisors (119734734858).

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

105007217142 is a wasteful number, since it uses less digits than its factorization.

105007217142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29301.

The product of its (nonzero) digits is 3920, while the sum is 30.

Adding to 105007217142 its reverse (241712700501), we get a palindrome (346719917643).

The spelling of 105007217142 in words is "one hundred five billion, seven million, two hundred seventeen thousand, one hundred forty-two".