105723341856000 has 1152 divisors, whose sum is σ = 426867930478080. Its totient is φ = 25556484096000.

The previous prime is 105723341855969. The next prime is 105723341856017. The reversal of 105723341856000 is 658143327501.

It is a happy number.

105723341856000 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 3 + 34 + 1 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105723341856000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3354896244 + ... + 3354927756.

It is an arithmetic number, because the mean of its divisors is an integer number (370545078540).

Almost surely, 2^{105723341856000} is an apocalyptic number.

105723341856000 is a gapful number since it is divisible by the number (10) 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 105723341856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213433965239040).

105723341856000 is an abundant number, since it is smaller than the sum of its proper divisors (321144588622080).

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

105723341856000 is a wasteful number, since it uses less digits than its factorization.

105723341856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31917 (or 31887 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 105723341856000 in words is "one hundred five trillion, seven hundred twenty-three billion, three hundred forty-one million, eight hundred fifty-six thousand".