105010610073 has 32 divisors (see below), whose sum is σ = 145671985536. Its totient is φ = 67241760768.

The previous prime is 105010610069. The next prime is 105010610093. The reversal of 105010610073 is 370016010501.

It is not a de Polignac number, because 105010610073 - 2² = 105010610069 is a prime.

It is a super-2 number, since 2×105010610073² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105010610093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1937815 + ... + 1991267.

It is an arithmetic number, because the mean of its divisors is an integer number (4552249548).

Almost surely, 2^105010610073 is an apocalyptic number.

It is an amenable number.

105010610073 is a deficient number, since it is larger than the sum of its proper divisors (40661375463).

105010610073 is a wasteful number, since it uses less digits than its factorization.

105010610073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53753.

The product of its (nonzero) digits is 630, while the sum is 24.

Adding to 105010610073 its reverse (370016010501), we get a palindrome (475026620574).

The spelling of 105010610073 in words is "one hundred five billion, ten million, six hundred ten thousand, seventy-three".