105150424300 has 36 divisors (see below), whose sum is σ = 236044579680. Its totient is φ = 40609817920.

The previous prime is 105150424297. The next prime is 105150424307. The reversal of 105150424300 is 3424051501.

It is a happy number.

It is a super-3 number, since 3×105150424300³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (105150424307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18126484 + ... + 18132283.

It is an arithmetic number, because the mean of its divisors is an integer number (6556793880).

Almost surely, 2^105150424300 is an apocalyptic number.

105150424300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105150424300 is an abundant number, since it is smaller than the sum of its proper divisors (130894155380).

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

105150424300 is a wasteful number, since it uses less digits than its factorization.

105150424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36258810 (or 36258803 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105150424300 its reverse (3424051501), we get a palindrome (108574475801).

The spelling of 105150424300 in words is "one hundred five billion, one hundred fifty million, four hundred twenty-four thousand, three hundred".