105557274315 has 48 divisors (see below), whose sum is σ = 189960226560. Its totient is φ = 54166129920.

The previous prime is 105557274301. The next prime is 105557274337. The reversal of 105557274315 is 513472755501.

105557274315 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 572 + 74 + 3 + 1 + 5 = 666.

It is not a de Polignac number, because 105557274315 - 2⁷ = 105557274187 is a prime.

It is a super-3 number, since 3×105557274315³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22641 + ... + 460029.

It is an arithmetic number, because the mean of its divisors is an integer number (3957504720).

Almost surely, 2^105557274315 is an apocalyptic number.

105557274315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105557274315 is a deficient number, since it is larger than the sum of its proper divisors (84402952245).

105557274315 is a wasteful number, since it uses less digits than its factorization.

105557274315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437604 (or 437601 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 105557274315 in words is "one hundred five billion, five hundred fifty-seven million, two hundred seventy-four thousand, three hundred fifteen".