105263290844100 has 81 divisors (see below), whose sum is σ = 329942901955303. Its totient is φ = 28070128813440.

The previous prime is 105263290844093. The next prime is 105263290844119. The reversal of 105263290844100 is 1448092362501.

The square root of 105263290844100 is 10259790.

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

105263290844100 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 632 + 9 + 0 + 8 + 4 + 4 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38379288790404 + 66884002053696 = 6195102^2 + 8178264^2 .

It is a super-2 number, since 2×105263290844100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 307622704 + ... + 307964696.

Almost surely, 2^{105263290844100} is an apocalyptic number.

105263290844100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105263290844100 is the 10259790-th square number.

It is an amenable number.

105263290844100 is an abundant number, since it is smaller than the sum of its proper divisors (224679611111203).

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

105263290844100 is an frugal number, since it uses more digits than its factorization.

105263290844100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684006 (or 342003 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 105263290844100 in words is "one hundred five trillion, two hundred sixty-three billion, two hundred ninety million, eight hundred forty-four thousand, one hundred".