105130506381417 has 192 divisors, whose sum is σ = 185917669217280. Its totient is φ = 58439352913920.

The previous prime is 105130506381413. The next prime is 105130506381421. The reversal of 105130506381417 is 714183605031501.

105130506381417 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 0 + 5 + 0 + 638 + 1 + 4 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (105130506381413) and next prime (105130506381421).

It is not a de Polignac number, because 105130506381417 - 2² = 105130506381413 is a prime.

It is a super-2 number, since 2×105130506381417² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105130506381413) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 608121163 + ... + 608294015.

It is an arithmetic number, because the mean of its divisors is an integer number (968321193840).

Almost surely, 2^{105130506381417} is an apocalyptic number.

105130506381417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105130506381417 is a deficient number, since it is larger than the sum of its proper divisors (80787162835863).

105130506381417 is a wasteful number, since it uses less digits than its factorization.

105130506381417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173181 (or 173164 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 105130506381417 in words is "one hundred five trillion, one hundred thirty billion, five hundred six million, three hundred eighty-one thousand, four hundred seventeen".