105001156161 has 48 divisors (see below), whose sum is σ = 168619925760. Its totient is φ = 62430600960.

The previous prime is 105001156159. The next prime is 105001156163. The reversal of 105001156161 is 161651100501.

105001156161 is a `hidden beast` number, since 1 + 0 + 500 + 1 + 156 + 1 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (105001156159) and next prime (105001156163).

It is not a de Polignac number, because 105001156161 - 2¹ = 105001156159 is a prime.

It is a super-2 number, since 2×105001156161² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105001156163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185141 + ... + 1270653.

It is an arithmetic number, because the mean of its divisors is an integer number (3512915120).

Almost surely, 2^105001156161 is an apocalyptic number.

105001156161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105001156161 is a deficient number, since it is larger than the sum of its proper divisors (63618769599).

105001156161 is a wasteful number, since it uses less digits than its factorization.

105001156161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85766 (or 85763 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 105001156161 its reverse (161651100501), we get a palindrome (266652256662).

It can be divided in two parts, 105001 and 156161, that added together give a palindrome (261162).

The spelling of 105001156161 in words is "one hundred five billion, one million, one hundred fifty-six thousand, one hundred sixty-one".