105440480656 has 45 divisors (see below), whose sum is σ = 237665046369. Its totient is φ = 45184880832.

The previous prime is 105440480653. The next prime is 105440480737. The reversal of 105440480656 is 656084044501.

The square root of 105440480656 is 324716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 92720250000 + 12720230656 = 304500^2 + 112784^2 .

It is a super-2 number, since 2×105440480656² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105440480653) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9086250 + ... + 9097846.

Almost surely, 2^105440480656 is an apocalyptic number.

105440480656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105440480656 is the 324716-th square number.

It is an amenable number.

105440480656 is an abundant number, since it is smaller than the sum of its proper divisors (132224565713).

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

105440480656 is an frugal number, since it uses more digits than its factorization.

105440480656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23216 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 105440480656 in words is "one hundred five billion, four hundred forty million, four hundred eighty thousand, six hundred fifty-six".