105142250220 has 96 divisors (see below), whose sum is σ = 336763381248. Its totient is φ = 24010501632.

The previous prime is 105142250201. The next prime is 105142250231. The reversal of 105142250220 is 22052241501.

It is a super-2 number, since 2×105142250220² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 346639 + ... + 574841.

It is an arithmetic number, because the mean of its divisors is an integer number (3507951888).

Almost surely, 2^105142250220 is an apocalyptic number.

105142250220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105142250220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168381690624).

105142250220 is an abundant number, since it is smaller than the sum of its proper divisors (231621131028).

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

105142250220 is a wasteful number, since it uses less digits than its factorization.

105142250220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229319 (or 229317 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 105142250220 its reverse (22052241501), we get a palindrome (127194491721).

The spelling of 105142250220 in words is "one hundred five billion, one hundred forty-two million, two hundred fifty thousand, two hundred twenty".