105305299371 has 64 divisors (see below), whose sum is σ = 169777520640. Its totient is φ = 64313948160.

The previous prime is 105305299369. The next prime is 105305299381. The reversal of 105305299371 is 173992503501.

105305299371 is a `hidden beast` number, since 1 + 0 + 5 + 30 + 529 + 93 + 7 + 1 = 666.

It is not a de Polignac number, because 105305299371 - 2¹ = 105305299369 is a prime.

It is a super-2 number, since 2×105305299371² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305299361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1839151 + ... + 1895543.

It is an arithmetic number, because the mean of its divisors is an integer number (2652773760).

Almost surely, 2^105305299371 is an apocalyptic number.

105305299371 is a deficient number, since it is larger than the sum of its proper divisors (64472221269).

105305299371 is a wasteful number, since it uses less digits than its factorization.

105305299371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56553 (or 56547 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 105305299371 in words is "one hundred five billion, three hundred five million, two hundred ninety-nine thousand, three hundred seventy-one".