1055105105115 has 32 divisors (see below), whose sum is σ = 1761665817600. Its totient is φ = 538226257536.

The previous prime is 1055105105107. The next prime is 1055105105123. The reversal of 1055105105115 is 5115015015501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1055105105107) and next prime (1055105105123).

It is not a de Polignac number, because 1055105105115 - 2³ = 1055105105107 is a prime.

It is a super-2 number, since 2×1055105105115² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6875514 + ... + 7027296.

It is an arithmetic number, because the mean of its divisors is an integer number (55052056800).

Almost surely, 2^{1055105105115} is an apocalyptic number.

1055105105115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1055105105115 is a deficient number, since it is larger than the sum of its proper divisors (706560712485).

1055105105115 is a wasteful number, since it uses less digits than its factorization.

1055105105115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171963.

The product of its (nonzero) digits is 3125, while the sum is 30.

The spelling of 1055105105115 in words is "one trillion, fifty-five billion, one hundred five million, one hundred five thousand, one hundred fifteen".