105105161007 has 128 divisors (see below), whose sum is σ = 202931159040. Its totient is φ = 52134192000.

The previous prime is 105105160997. The next prime is 105105161009. The reversal of 105105161007 is 700161501501.

It is a happy number.

It is not a de Polignac number, because 105105161007 - 2¹⁰ = 105105159983 is a prime.

It is a super-2 number, since 2×105105161007² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105161009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33039957 + ... + 33043137.

It is an arithmetic number, because the mean of its divisors is an integer number (1585399680).

Almost surely, 2^105105161007 is an apocalyptic number.

105105161007 is a deficient number, since it is larger than the sum of its proper divisors (97825998033).

105105161007 is a wasteful number, since it uses less digits than its factorization.

105105161007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

Adding to 105105161007 its reverse (700161501501), we get a palindrome (805266662508).

The spelling of 105105161007 in words is "one hundred five billion, one hundred five million, one hundred sixty-one thousand, seven".