105142250200 has 192 divisors, whose sum is σ = 266681368800. Its totient is φ = 38320128000.

The previous prime is 105142250119. The next prime is 105142250201. The reversal of 105142250200 is 2052241501.

It is a super-2 number, since 2×105142250200² (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 (105142250201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100039675 + ... + 100040725.

Almost surely, 2^105142250200 is an apocalyptic number.

105142250200 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 105142250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133340684400).

105142250200 is an abundant number, since it is smaller than the sum of its proper divisors (161539118600).

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

105142250200 is a wasteful number, since it uses less digits than its factorization.

105142250200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105142250200 its reverse (2052241501), we get a palindrome (107194491701).

The spelling of 105142250200 in words is "one hundred five billion, one hundred forty-two million, two hundred fifty thousand, two hundred".