105566743004 has 24 divisors (see below), whose sum is σ = 195620443200. Its totient is φ = 49675552256.

The previous prime is 105566742989. The next prime is 105566743027. The reversal of 105566743004 is 400347665501.

It is a super-3 number, since 3×105566743004³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1509197 + ... + 1577595.

It is an arithmetic number, because the mean of its divisors is an integer number (8150851800).

Almost surely, 2^105566743004 is an apocalyptic number.

It is an amenable number.

105566743004 is a deficient number, since it is larger than the sum of its proper divisors (90053700196).

105566743004 is a wasteful number, since it uses less digits than its factorization.

105566743004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91117 (or 91115 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 105566743004 in words is "one hundred five billion, five hundred sixty-six million, seven hundred forty-three thousand, four".