105051101061 has 16 divisors (see below), whose sum is σ = 156113092800. Its totient is φ = 62445235968.

The previous prime is 105051101059. The next prime is 105051101093. The reversal of 105051101061 is 160101150501.

It is a happy number.

It is not a de Polignac number, because 105051101061 - 2¹ = 105051101059 is a prime.

It is a super-2 number, since 2×105051101061² (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 (105051101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54204966 + ... + 54206903.

It is an arithmetic number, because the mean of its divisors is an integer number (9757068300).

Almost surely, 2^105051101061 is an apocalyptic number.

It is an amenable number.

105051101061 is a deficient number, since it is larger than the sum of its proper divisors (51061991739).

105051101061 is a wasteful number, since it uses less digits than its factorization.

105051101061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108411908.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105051101061 its reverse (160101150501), we get a palindrome (265152251562).

The spelling of 105051101061 in words is "one hundred five billion, fifty-one million, one hundred one thousand, sixty-one".