105250758743130 has 256 divisors, whose sum is σ = 339175647240192. Its totient is φ = 20186888832000.

The previous prime is 105250758743051. The next prime is 105250758743149. The reversal of 105250758743130 is 31347857052501.

It is a super-2 number, since 2×105250758743130² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 640788115 + ... + 640952345.

It is an arithmetic number, because the mean of its divisors is an integer number (1324904872032).

Almost surely, 2^{105250758743130} is an apocalyptic number.

105250758743130 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 105250758743130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169587823620096).

105250758743130 is an abundant number, since it is smaller than the sum of its proper divisors (233924888497062).

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

105250758743130 is a wasteful number, since it uses less digits than its factorization.

105250758743130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185613.

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 105250758743130 in words is "one hundred five trillion, two hundred fifty billion, seven hundred fifty-eight million, seven hundred forty-three thousand, one hundred thirty".