101114905 has 8 divisors (see below), whose sum is σ = 122224392. Its totient is φ = 80300928.

The previous prime is 101114879. The next prime is 101114911. The reversal of 101114905 is 509411101.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 87216921 = 3728^2 + 9339^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101114905 - 2¹¹ = 101112857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73122 + ... + 74491.

It is an arithmetic number, because the mean of its divisors is an integer number (15278049).

Almost surely, 2^101114905 is an apocalyptic number.

It is an amenable number.

101114905 is a deficient number, since it is larger than the sum of its proper divisors (21109487).

101114905 is a wasteful number, since it uses less digits than its factorization.

101114905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147755.

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 101114905 is about 10055.5907335174. The cubic root of 101114905 is about 465.8774890238.

The spelling of 101114905 in words is "one hundred one million, one hundred fourteen thousand, nine hundred five".