105381124471305 has 96 divisors (see below), whose sum is σ = 185047414755840. Its totient is φ = 55472239779840.

The previous prime is 105381124471291. The next prime is 105381124471331. The reversal of 105381124471305 is 503174421183501.

105381124471305 is a `hidden beast` number, since 1 + 0 + 5 + 38 + 1 + 1 + 244 + 71 + 305 = 666.

It is not a de Polignac number, because 105381124471305 - 2¹⁵ = 105381124438537 is a prime.

It is a super-2 number, since 2×105381124471305² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2388326974 + ... + 2388371096.

It is an arithmetic number, because the mean of its divisors is an integer number (1927577237040).

Almost surely, 2^{105381124471305} is an apocalyptic number.

105381124471305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105381124471305 is a deficient number, since it is larger than the sum of its proper divisors (79666290284535).

105381124471305 is a wasteful number, since it uses less digits than its factorization.

105381124471305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45711 (or 45708 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 105381124471305 in words is "one hundred five trillion, three hundred eighty-one billion, one hundred twenty-four million, four hundred seventy-one thousand, three hundred five".