105145066656664 has 32 divisors (see below), whose sum is σ = 202332437879040. Its totient is φ = 51207592256800.

The previous prime is 105145066656577. The next prime is 105145066656709. The reversal of 105145066656664 is 466656660541501.

It is a super-2 number, since 2×105145066656664² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115100772 + ... + 1115195059.

It is an arithmetic number, because the mean of its divisors is an integer number (6322888683720).

Almost surely, 2^{105145066656664} is an apocalyptic number.

It is an amenable number.

105145066656664 is a deficient number, since it is larger than the sum of its proper divisors (97187371222376).

105145066656664 is a wasteful number, since it uses less digits than its factorization.

105145066656664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230295991 (or 2230295987 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 61.

The spelling of 105145066656664 in words is "one hundred five trillion, one hundred forty-five billion, sixty-six million, six hundred fifty-six thousand, six hundred sixty-four".