105127505661 has 16 divisors (see below), whose sum is σ = 141475790720. Its totient is φ = 69432292800.

The previous prime is 105127505653. The next prime is 105127505663. The reversal of 105127505661 is 166505721501.

It is a happy number.

It is not a de Polignac number, because 105127505661 - 2³ = 105127505653 is a prime.

It is a super-2 number, since 2×105127505661² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105127505663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2889936 + ... + 2926086.

It is an arithmetic number, because the mean of its divisors is an integer number (8842236920).

Almost surely, 2^105127505661 is an apocalyptic number.

It is an amenable number.

105127505661 is a deficient number, since it is larger than the sum of its proper divisors (36348285059).

105127505661 is a wasteful number, since it uses less digits than its factorization.

105127505661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45156.

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 105127505661 in words is "one hundred five billion, one hundred twenty-seven million, five hundred five thousand, six hundred sixty-one".