34100514505105 has 16 divisors (see below), whose sum is σ = 42027150496320. Its totient is φ = 26542742893632.

The previous prime is 34100514505091. The next prime is 34100514505147. The reversal of 34100514505105 is 50150541500143.

It is a cyclic number.

It is not a de Polignac number, because 34100514505105 - 2¹⁵ = 34100514472337 is a prime.

It is a super-2 number, since 2×34100514505105² (a number of 28 digits) contains 22 as substring.

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, 12843102 + ... + 15269128.

It is an arithmetic number, because the mean of its divisors is an integer number (2626696906020).

Almost surely, 2^{34100514505105} is an apocalyptic number.

It is an amenable number.

34100514505105 is a deficient number, since it is larger than the sum of its proper divisors (7926635991215).

34100514505105 is a wasteful number, since it uses less digits than its factorization.

34100514505105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502048.

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 34100514505105 in words is "thirty-four trillion, one hundred billion, five hundred fourteen million, five hundred five thousand, one hundred five".