105465720712 has 32 divisors (see below), whose sum is σ = 216313211520. Its totient is φ = 47808325440.

The previous prime is 105465720667. The next prime is 105465720761. The reversal of 105465720712 is 217027564501.

It is a super-2 number, since 2×105465720712² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600503 + ... + 1665094.

It is an arithmetic number, because the mean of its divisors is an integer number (6759787860).

Almost surely, 2^105465720712 is an apocalyptic number.

It is an amenable number.

105465720712 is an abundant number, since it is smaller than the sum of its proper divisors (110847490808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105465720712 is a wasteful number, since it uses less digits than its factorization.

105465720712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265981 (or 3265977 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

It can be divided in two parts, 1054657 and 20712, that added together give a square (1075369 = 1037²).

The spelling of 105465720712 in words is "one hundred five billion, four hundred sixty-five million, seven hundred twenty thousand, seven hundred twelve".