105061600116 has 36 divisors (see below), whose sum is σ = 289715322624. Its totient is φ = 31836848400.

The previous prime is 105061600109. The next prime is 105061600117. The reversal of 105061600116 is 611006160501.

105061600116 is a `hidden beast` number, since 1 + 0 + 50 + 6 + 1 + 600 + 1 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105061600116² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105061600116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105061600117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132653140 + ... + 132653931.

Almost surely, 2^105061600116 is an apocalyptic number.

It is an amenable number.

105061600116 is an abundant number, since it is smaller than the sum of its proper divisors (184653722508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105061600116 is a wasteful number, since it uses less digits than its factorization.

105061600116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265307092 (or 265307087 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 105061600116 its reverse (611006160501), we get a palindrome (716067760617).

The spelling of 105061600116 in words is "one hundred five billion, sixty-one million, six hundred thousand, one hundred sixteen".