105560010000 has 625 divisors, whose sum is σ = 402989213891. Its totient is φ = 26667792000.

The previous prime is 105560009969. The next prime is 105560010011. The reversal of 105560010000 is 10065501.

The square root of 105560010000 is 324900.

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

105560010000 is a `hidden beast` number, since 1 + 0 + 5 + 560 + 0 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8275904784 + 97284105216 = 90972^2 + 311904^2 .

It is a tau number, because it is divible by the number of its divisors (625).

It is a super-2 number, since 2×105560010000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 5555789991 + ... + 5555790009.

Almost surely, 2^105560010000 is an apocalyptic number.

105560010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105560010000 is the 324900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105560010000

105560010000 is an abundant number, since it is smaller than the sum of its proper divisors (297429203891).

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

105560010000 is an frugal number, since it uses more digits than its factorization.

105560010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 105560010000 its reverse (10065501), we get a palindrome (105570075501).

The spelling of 105560010000 in words is "one hundred five billion, five hundred sixty million, ten thousand".