110450772 has 72 divisors (see below), whose sum is σ = 289932552. Its totient is φ = 35424000.

The previous prime is 110450731. The next prime is 110450777. The reversal of 110450772 is 277054011.

It can be written as a sum of positive squares in 4 ways, for example, as 56340036 + 54110736 = 7506^2 + 7356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110450777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134122 + ... + 134942.

It is an arithmetic number, because the mean of its divisors is an integer number (4026841).

Almost surely, 2^110450772 is an apocalyptic number.

110450772 is a gapful number since it is divisible by the number (12) 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 110450772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144966276).

110450772 is an abundant number, since it is smaller than the sum of its proper divisors (179481780).

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

110450772 is a wasteful number, since it uses less digits than its factorization.

110450772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 110450772 is about 10509.5562227908. The cubic root of 110450772 is about 479.7955900469.

The spelling of 110450772 in words is "one hundred ten million, four hundred fifty thousand, seven hundred seventy-two".