105115552353 has 12 divisors (see below), whose sum is σ = 173524086528. Its totient is φ = 60066029880.

The previous prime is 105115552337. The next prime is 105115552363. The reversal of 105115552353 is 353255511501.

105115552353 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 5 + 552 + 3 + 53 = 666.

It is not a de Polignac number, because 105115552353 - 2⁴ = 105115552337 is a prime.

It is a super-2 number, since 2×105115552353² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105115552313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834250353 + ... + 834250478.

It is an arithmetic number, because the mean of its divisors is an integer number (14460340544).

Almost surely, 2^105115552353 is an apocalyptic number.

It is an amenable number.

105115552353 is a deficient number, since it is larger than the sum of its proper divisors (68408534175).

105115552353 is a wasteful number, since it uses less digits than its factorization.

105115552353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668500844 (or 1668500841 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 105115552353 in words is "one hundred five billion, one hundred fifteen million, five hundred fifty-two thousand, three hundred fifty-three".