105610556061 has 192 divisors, whose sum is σ = 182290268160. Its totient is φ = 58506624000.

The previous prime is 105610556059. The next prime is 105610556069. The reversal of 105610556061 is 160655016501.

It is not a de Polignac number, because 105610556061 - 2¹ = 105610556059 is a prime.

It is a super-2 number, since 2×105610556061² (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 (105610556069) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184956906 + ... + 184957476.

It is an arithmetic number, because the mean of its divisors is an integer number (949428480).

Almost surely, 2^105610556061 is an apocalyptic number.

It is an amenable number.

105610556061 is a deficient number, since it is larger than the sum of its proper divisors (76679712099).

105610556061 is a wasteful number, since it uses less digits than its factorization.

105610556061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105610556061 in words is "one hundred five billion, six hundred ten million, five hundred fifty-six thousand, sixty-one".