101110005 has 16 divisors (see below), whose sum is σ = 179751360. Its totient is φ = 53925264.

The previous prime is 101109997. The next prime is 101110007. The reversal of 101110005 is 500011101.

It is not a de Polignac number, because 101110005 - 2³ = 101109997 is a prime.

It is a super-2 number, since 2×101110005² = 20446466222200050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374347 + ... + 374616.

It is an arithmetic number, because the mean of its divisors is an integer number (11234460).

Almost surely, 2^101110005 is an apocalyptic number.

101110005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101110005 is a deficient number, since it is larger than the sum of its proper divisors (78641355).

101110005 is an equidigital number, since it uses as much as digits as its factorization.

101110005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748977 (or 748971 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 101110005 is about 10055.3470850091. The cubic root of 101110005 is about 465.8699634713.

Adding to 101110005 its reverse (500011101), we get a palindrome (601121106).

The spelling of 101110005 in words is "one hundred one million, one hundred ten thousand, five".