105162752612720 has 80 divisors (see below), whose sum is σ = 268071338764800. Its totient is φ = 38048835052800.

The previous prime is 105162752612719. The next prime is 105162752612773. The reversal of 105162752612720 is 27216257261501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105162752612720² (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 15 ways as a sum of consecutive naturals, for example, 300083996 + ... + 300434235.

It is an arithmetic number, because the mean of its divisors is an integer number (3350891734560).

Almost surely, 2^{105162752612720} is an apocalyptic number.

105162752612720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105162752612720 is an abundant number, since it is smaller than the sum of its proper divisors (162908586152080).

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

105162752612720 is a wasteful number, since it uses less digits than its factorization.

105162752612720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600518454 (or 600518448 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 105162752612720 in words is "one hundred five trillion, one hundred sixty-two billion, seven hundred fifty-two million, six hundred twelve thousand, seven hundred twenty".