105101073 has 48 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 53313120.

The previous prime is 105101069. The next prime is 105101083. The reversal of 105101073 is 370101501.

It is a happy number.

It is not a de Polignac number, because 105101073 - 2² = 105101069 is a prime.

It is a super-2 number, since 2×105101073² = 22092471091502658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105101023) 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 47 ways as a sum of consecutive naturals, for example, 28036 + ... + 31562.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^105101073 is an apocalyptic number.

It is an amenable number.

105101073 is a deficient number, since it is larger than the sum of its proper divisors (88628463).

105101073 is a wasteful number, since it uses less digits than its factorization.

105101073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 105101073 is about 10251.8814370827. The cubic root of 105101073 is about 471.9207245606.

Adding to 105101073 its reverse (370101501), we get a palindrome (475202574).

The spelling of 105101073 in words is "one hundred five million, one hundred one thousand, seventy-three".