101500105 has 16 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 69486912.

The previous prime is 101500079. The next prime is 101500111. The reversal of 101500105 is 501005101.

It is a cyclic number.

It is not a de Polignac number, because 101500105 - 2¹⁷ = 101369033 is a prime.

It is a super-2 number, since 2×101500105² = 20604542630022050, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 23451 + ... + 27439.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^101500105 is an apocalyptic number.

It is an amenable number.

101500105 is a deficient number, since it is larger than the sum of its proper divisors (37926455).

101500105 is an equidigital number, since it uses as much as digits as its factorization.

101500105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 101500105 is about 10074.7260508661. The cubic root of 101500105 is about 466.4683304003.

Adding to 101500105 its reverse (501005101), we get a palindrome (602505206).

The spelling of 101500105 in words is "one hundred one million, five hundred thousand, one hundred five".