105713208361152 has 336 divisors, whose sum is σ = 361861810582272. Its totient is φ = 29973206615040.

The previous prime is 105713208361129. The next prime is 105713208361181. The reversal of 105713208361152 is 251163802317501.

105713208361152 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 1 + 3 + 20 + 8 + 3 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105713208361152² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105713208361098 and 105713208361107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10554858 + ... + 17967510.

It is an arithmetic number, because the mean of its divisors is an integer number (1076969674352).

Almost surely, 2^{105713208361152} is an apocalyptic number.

105713208361152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105713208361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180930905291136).

105713208361152 is an abundant number, since it is smaller than the sum of its proper divisors (256148602221120).

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

105713208361152 is an equidigital number, since it uses as much as digits as its factorization.

105713208361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412818 (or 7412796 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 105713208361152 in words is "one hundred five trillion, seven hundred thirteen billion, two hundred eight million, three hundred sixty-one thousand, one hundred fifty-two".