105010610103 has 24 divisors (see below), whose sum is σ = 173379024000. Its totient is φ = 59996309904.

The previous prime is 105010610101. The next prime is 105010610119. The reversal of 105010610103 is 301016010501.

105010610103 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 0 + 610 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 105010610103 - 2¹ = 105010610101 is a prime.

It is a super-2 number, since 2×105010610103² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010610101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264528 + ... + 529146.

It is an arithmetic number, because the mean of its divisors is an integer number (7224126000).

Almost surely, 2^105010610103 is an apocalyptic number.

105010610103 is a deficient number, since it is larger than the sum of its proper divisors (68368413897).

105010610103 is a wasteful number, since it uses less digits than its factorization.

105010610103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270931 (or 270928 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 105010610103 its reverse (301016010501), we get a palindrome (406026620604).

The spelling of 105010610103 in words is "one hundred five billion, ten million, six hundred ten thousand, one hundred three".