101005805114 has 24 divisors (see below), whose sum is σ = 160314048180. Its totient is φ = 47721727872.

The previous prime is 101005805093. The next prime is 101005805123. The reversal of 101005805114 is 411508500101.

It can be written as a sum of positive squares in 2 ways, for example, as 98938557025 + 2067248089 = 314545^2 + 45467^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 101042 + ... + 460674.

Almost surely, 2^101005805114 is an apocalyptic number.

101005805114 is a deficient number, since it is larger than the sum of its proper divisors (59308243066).

101005805114 is a wasteful number, since it uses less digits than its factorization.

101005805114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360062 (or 360043 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 26.

The spelling of 101005805114 in words is "one hundred one billion, five million, eight hundred five thousand, one hundred fourteen".