105564610487296 has 33 divisors (see below), whose sum is σ = 211026787781329. Its totient is φ = 52782140852224.

The previous prime is 105564610487293. The next prime is 105564610487317. The reversal of 105564610487296 is 692784016465501.

The square root of 105564610487296 is 10274464.

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., 87762421785600 + 17802188701696 = 9368160^2 + 4219264^2 .

It is a super-2 number, since 2×105564610487296² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105564610487293) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 328622310 + ... + 328943386.

Almost surely, 2^{105564610487296} is an apocalyptic number.

105564610487296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105564610487296 is the 10274464-th square number.

It is an amenable number.

105564610487296 is a deficient number, since it is larger than the sum of its proper divisors (105462177294033).

105564610487296 is an frugal number, since it uses more digits than its factorization.

105564610487296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642174 (or 321079 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

105564610487296 divided by its sum of digits (64) gives a square (1649447038864 = 1284308²).

The spelling of 105564610487296 in words is "one hundred five trillion, five hundred sixty-four billion, six hundred ten million, four hundred eighty-seven thousand, two hundred ninety-six".