105506501031 has 12 divisors (see below), whose sum is σ = 154896612520. Its totient is φ = 69184590480.

The previous prime is 105506501021. The next prime is 105506501057. The reversal of 105506501031 is 130105605501.

105506501031 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 650 + 1 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 105506501031 - 2¹¹ = 105506498983 is a prime.

It is a super-2 number, since 2×105506501031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105506500986 and 105506501004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506501021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96089161 + ... + 96090258.

Almost surely, 2^105506501031 is an apocalyptic number.

105506501031 is a deficient number, since it is larger than the sum of its proper divisors (49390111489).

105506501031 is a wasteful number, since it uses less digits than its factorization.

105506501031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192179486 (or 192179483 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 105506501031 in words is "one hundred five billion, five hundred six million, five hundred one thousand, thirty-one".