110106001600 has 84 divisors (see below), whose sum is σ = 309633837424. Its totient is φ = 37750625280.

The previous prime is 110106001589. The next prime is 110106001601. The reversal of 110106001600 is 6100601011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (110106001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4904247 + ... + 4926646.

Almost surely, 2^110106001600 is an apocalyptic number.

110106001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110106001600 is an abundant number, since it is smaller than the sum of its proper divisors (199527835824).

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

110106001600 is an equidigital number, since it uses as much as digits as its factorization.

110106001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830922 (or 9830907 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 110106001600 its reverse (6100601011), we get a palindrome (116206602611).

The spelling of 110106001600 in words is "one hundred ten billion, one hundred six million, one thousand, six hundred".