105181265050772 has 6 divisors (see below), whose sum is σ = 184067213838858. Its totient is φ = 52590632525384.

The previous prime is 105181265050739. The next prime is 105181265050859. The reversal of 105181265050772 is 277050562181501.

105181265050772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 101217805218436 + 3963459832336 = 10060706^2 + 1990844^2 .

It is a super-2 number, since 2×105181265050772² (a number of 29 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 105181265050772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13147658131343 + ... + 13147658131350.

It is an arithmetic number, because the mean of its divisors is an integer number (30677868973143).

Almost surely, 2^{105181265050772} is an apocalyptic number.

It is an amenable number.

105181265050772 is a deficient number, since it is larger than the sum of its proper divisors (78885948788086).

105181265050772 is a wasteful number, since it uses less digits than its factorization.

105181265050772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26295316262697 (or 26295316262695 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 50.

The spelling of 105181265050772 in words is "one hundred five trillion, one hundred eighty-one billion, two hundred sixty-five million, fifty thousand, seven hundred seventy-two".