110628672200 has 108 divisors (see below), whose sum is σ = 266715742995. Its totient is φ = 42672873600.

The previous prime is 110628672191. The next prime is 110628672263. The reversal of 110628672200 is 2276826011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 42433528036 + 68195144164 = 205994^2 + 261142^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=235190.

It is a super-2 number, since 2×110628672200² (a number of 23 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 136409795 + ... + 136410605.

Almost surely, 2^110628672200 is an apocalyptic number.

110628672200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110628672200

110628672200 is an abundant number, since it is smaller than the sum of its proper divisors (156087070795).

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

110628672200 is an frugal number, since it uses more digits than its factorization.

110628672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 110628672200 in words is "one hundred ten billion, six hundred twenty-eight million, six hundred seventy-two thousand, two hundred".