105723740160 has 720 divisors, whose sum is σ = 391593436416. Its totient is φ = 27348959232.

The previous prime is 105723740153. The next prime is 105723740167. The reversal of 105723740160 is 61047327501.

It is a happy number.

105723740160 is a `hidden beast` number, since 1 + 0 + 572 + 3 + 74 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105723740153) and next prime (105723740167).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105723740160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105723740167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935608264 + ... + 935608376.

Almost surely, 2^105723740160 is an apocalyptic number.

105723740160 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 105723740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195796718208).

105723740160 is an abundant number, since it is smaller than the sum of its proper divisors (285869696256).

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

105723740160 is an frugal number, since it uses more digits than its factorization.

105723740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 105723740160 in words is "one hundred five billion, seven hundred twenty-three million, seven hundred forty thousand, one hundred sixty".