105610511061 has 36 divisors (see below), whose sum is σ = 167949250560. Its totient is φ = 63902559600.

The previous prime is 105610511023. The next prime is 105610511081. The reversal of 105610511061 is 160115016501.

It is not a de Polignac number, because 105610511061 - 2⁷ = 105610510933 is a prime.

It is a super-2 number, since 2×105610511061² (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 (105610511021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 595756 + ... + 752426.

It is an arithmetic number, because the mean of its divisors is an integer number (4665256960).

Almost surely, 2^105610511061 is an apocalyptic number.

105610511061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105610511061 is a deficient number, since it is larger than the sum of its proper divisors (62338739499).

105610511061 is a wasteful number, since it uses less digits than its factorization.

105610511061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157318 (or 157304 counting only the distinct ones).

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

Adding to 105610511061 its reverse (160115016501), we get a palindrome (265725527562).

The spelling of 105610511061 in words is "one hundred five billion, six hundred ten million, five hundred eleven thousand, sixty-one".