105006155100115 has 16 divisors (see below), whose sum is σ = 129413558824128. Its totient is φ = 81734162196096.

The previous prime is 105006155100047. The next prime is 105006155100139. The reversal of 105006155100115 is 511001551600501.

It is a cyclic number.

It is not a de Polignac number, because 105006155100115 - 2¹⁷ = 105006154969043 is a prime.

It is a super-2 number, since 2×105006155100115² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45844834 + ... + 48080776.

It is an arithmetic number, because the mean of its divisors is an integer number (8088347426508).

Almost surely, 2^{105006155100115} is an apocalyptic number.

105006155100115 is a deficient number, since it is larger than the sum of its proper divisors (24407403724013).

105006155100115 is a wasteful number, since it uses less digits than its factorization.

105006155100115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489838.

The product of its (nonzero) digits is 3750, while the sum is 31.

The spelling of 105006155100115 in words is "one hundred five trillion, six billion, one hundred fifty-five million, one hundred thousand, one hundred fifteen".