105720061440 has 1280 divisors, whose sum is σ = 435572121600. Its totient is φ = 21329215488.

The previous prime is 105720061429. The next prime is 105720061457. The reversal of 105720061440 is 44160027501.

105720061440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×105720061440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105720061398 and 105720061407.

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, 1273735639 + ... + 1273735721.

It is an arithmetic number, because the mean of its divisors is an integer number (340290720).

Almost surely, 2^105720061440 is an apocalyptic number.

105720061440 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 105720061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217786060800).

105720061440 is an abundant number, since it is smaller than the sum of its proper divisors (329852060160).

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

105720061440 is a wasteful number, since it uses less digits than its factorization.

105720061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 105720061440 its reverse (44160027501), we get a palindrome (149880088941).

The spelling of 105720061440 in words is "one hundred five billion, seven hundred twenty million, sixty-one thousand, four hundred forty".