105148230838560 has 1728 divisors, whose sum is σ = 458848551313152. Its totient is φ = 21340632563712.

The previous prime is 105148230838531. The next prime is 105148230838589. The reversal of 105148230838560 is 65838032841501.

105148230838560 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 48 + 2 + 3 + 0 + 8 + 38 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (105148230838531) and next prime (105148230838589).

It is a super-2 number, since 2×105148230838560² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105148230838497 and 105148230838506.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25294256002 + ... + 25294260158.

It is an arithmetic number, because the mean of its divisors is an integer number (265537356084).

Almost surely, 2^{105148230838560} is an apocalyptic number.

105148230838560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105148230838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229424275656576).

105148230838560 is an abundant number, since it is smaller than the sum of its proper divisors (353700320474592).

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

105148230838560 is a wasteful number, since it uses less digits than its factorization.

105148230838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 105148230838560 in words is "one hundred five trillion, one hundred forty-eight billion, two hundred thirty million, eight hundred thirty-eight thousand, five hundred sixty".