110052478548100 has 81 divisors (see below), whose sum is σ = 262500651926191. Its totient is φ = 40018663484800.

The previous prime is 110052478548079. The next prime is 110052478548109. The reversal of 110052478548100 is 1845874250011.

The square root of 110052478548100 is 10490590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41959483132996 + 68092995415104 = 6477614^2 + 8251848^2 .

It is a super-2 number, since 2×110052478548100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110052478548109) by changing a digit.

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, 1153917216 + ... + 1154012584.

Almost surely, 2^{110052478548100} is an apocalyptic number.

110052478548100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110052478548100 is the 10490590-th square number.

It is an amenable number.

110052478548100 is an abundant number, since it is smaller than the sum of its proper divisors (152448173378091).

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

110052478548100 is an frugal number, since it uses more digits than its factorization.

110052478548100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190774 (or 95387 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 46.

The spelling of 110052478548100 in words is "one hundred ten trillion, fifty-two billion, four hundred seventy-eight million, five hundred forty-eight thousand, one hundred".