34195833105 has 48 divisors (see below), whose sum is σ = 64276421184. Its totient is φ = 15477571200.

The previous prime is 34195833101. The next prime is 34195833109. The reversal of 34195833105 is 50133859143.

It is an interprime number because it is at equal distance from previous prime (34195833101) and next prime (34195833109).

It is not a de Polignac number, because 34195833105 - 2² = 34195833101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34195833101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156087 + ... + 304556.

It is an arithmetic number, because the mean of its divisors is an integer number (1339092108).

Almost surely, 2^34195833105 is an apocalyptic number.

34195833105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34195833105 is a deficient number, since it is larger than the sum of its proper divisors (30080588079).

34195833105 is a wasteful number, since it uses less digits than its factorization.

34195833105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460766 (or 460759 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 34195833105 in words is "thirty-four billion, one hundred ninety-five million, eight hundred thirty-three thousand, one hundred five".