105115341750 has 192 divisors, whose sum is σ = 275483400192. Its totient is φ = 26693726400.

The previous prime is 105115341713. The next prime is 105115341757. The reversal of 105115341750 is 57143511501.

It is a super-2 number, since 2×105115341750² (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 (105115341757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121801819 + ... + 121802681.

It is an arithmetic number, because the mean of its divisors is an integer number (1434809376).

Almost surely, 2^105115341750 is an apocalyptic number.

105115341750 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 105115341750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137741700096).

105115341750 is an abundant number, since it is smaller than the sum of its proper divisors (170368058442).

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

105115341750 is a wasteful number, since it uses less digits than its factorization.

105115341750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 105115341750 in words is "one hundred five billion, one hundred fifteen million, three hundred forty-one thousand, seven hundred fifty".