105566616010 has 64 divisors (see below), whose sum is σ = 204846465024. Its totient is φ = 39055579200.

The previous prime is 105566616007. The next prime is 105566616073. The reversal of 105566616010 is 10616665501.

It is a super-2 number, since 2×105566616010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9741295 + ... + 9752125.

It is an arithmetic number, because the mean of its divisors is an integer number (3200726016).

Almost surely, 2^105566616010 is an apocalyptic number.

105566616010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105566616010 is a deficient number, since it is larger than the sum of its proper divisors (99279849014).

105566616010 is a wasteful number, since it uses less digits than its factorization.

105566616010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 105566616010 in words is "one hundred five billion, five hundred sixty-six million, six hundred sixteen thousand, ten".