105150312343230 has 512 divisors, whose sum is σ = 319694376960000. Its totient is φ = 21500796764160.

The previous prime is 105150312343217. The next prime is 105150312343247. The reversal of 105150312343230 is 32343213051501.

It is a super-2 number, since 2×105150312343230² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105150312343191 and 105150312343200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30487186546 + ... + 30487189994.

It is an arithmetic number, because the mean of its divisors is an integer number (624403080000).

Almost surely, 2^{105150312343230} is an apocalyptic number.

105150312343230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105150312343230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159847188480000).

105150312343230 is an abundant number, since it is smaller than the sum of its proper divisors (214544064616770).

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

105150312343230 is a wasteful number, since it uses less digits than its factorization.

105150312343230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312.

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 105150312343230 its reverse (32343213051501), we get a palindrome (137493525394731).

The spelling of 105150312343230 in words is "one hundred five trillion, one hundred fifty billion, three hundred twelve million, three hundred forty-three thousand, two hundred thirty".