105609772768604 has 24 divisors (see below), whose sum is σ = 199034082226560. Its totient is φ = 48742903548864.

The previous prime is 105609772768583. The next prime is 105609772768627. The reversal of 105609772768604 is 406867277906501.

It is a happy number.

It is a super-2 number, since 2×105609772768604² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69598262 + ... + 71099490.

It is an arithmetic number, because the mean of its divisors is an integer number (8293086759440).

Almost surely, 2^{105609772768604} is an apocalyptic number.

It is an amenable number.

105609772768604 is a deficient number, since it is larger than the sum of its proper divisors (93424309457956).

105609772768604 is a wasteful number, since it uses less digits than its factorization.

105609772768604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854109 (or 2854107 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 68.

The spelling of 105609772768604 in words is "one hundred five trillion, six hundred nine billion, seven hundred seventy-two million, seven hundred sixty-eight thousand, six hundred four".