105145105554315 has 12 divisors (see below), whose sum is σ = 182251516294224. Its totient is φ = 56077389628944.

The previous prime is 105145105554263. The next prime is 105145105554367. The reversal of 105145105554315 is 513455501541501.

105145105554315 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 51 + 0 + 55 + 543 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (105145105554263) and next prime (105145105554367).

It is not a de Polignac number, because 105145105554315 - 2¹³ = 105145105546123 is a prime.

It is a super-2 number, since 2×105145105554315² (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), and also a Moran number because the ratio is a prime number: 2336557901207 = 105145105554315 / (1 + 0 + 5 + 1 + 4 + 5 + 1 + 0 + 5 + 5 + 5 + 4 + 3 + 1 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168278950559 + ... + 1168278950648.

It is an arithmetic number, because the mean of its divisors is an integer number (15187626357852).

Almost surely, 2^{105145105554315} is an apocalyptic number.

105145105554315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105145105554315 is a deficient number, since it is larger than the sum of its proper divisors (77106410739909).

105145105554315 is a wasteful number, since it uses less digits than its factorization.

105145105554315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336557901218 (or 2336557901215 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 45.

The spelling of 105145105554315 in words is "one hundred five trillion, one hundred forty-five billion, one hundred five million, five hundred fifty-four thousand, three hundred fifteen".