110117952 has 168 divisors, whose sum is σ = 372782592. Its totient is φ = 30412800.

The previous prime is 110117929. The next prime is 110117971. The reversal of 110117952 is 259711011.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124552 + ... + 125432.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 2^110117952 is an apocalyptic number.

110117952 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 110117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186391296).

110117952 is an abundant number, since it is smaller than the sum of its proper divisors (262664640).

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

110117952 is a wasteful number, since it uses less digits than its factorization.

110117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 110117952 is about 10493.7101160648. The cubic root of 110117952 is about 479.3131843944.

Adding to 110117952 its reverse (259711011), we get a palindrome (369828963).

The spelling of 110117952 in words is "one hundred ten million, one hundred seventeen thousand, nine hundred fifty-two".