105142413300 has 72 divisors (see below), whose sum is σ = 306149842656. Its totient is φ = 27859378560.

The previous prime is 105142413289. The next prime is 105142413301. The reversal of 105142413300 is 3314241501.

It is a happy number.

It is a super-2 number, since 2×105142413300² (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 (105142413301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069062 + ... + 1163261.

It is an arithmetic number, because the mean of its divisors is an integer number (4252081148).

Almost surely, 2^105142413300 is an apocalyptic number.

105142413300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105142413300 is an abundant number, since it is smaller than the sum of its proper divisors (201007429356).

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

105142413300 is a wasteful number, since it uses less digits than its factorization.

105142413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232497 (or 2232490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105142413300 its reverse (3314241501), we get a palindrome (108456654801).

The spelling of 105142413300 in words is "one hundred five billion, one hundred forty-two million, four hundred thirteen thousand, three hundred".