110126964 has 48 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 34282080.

The previous prime is 110126959. The next prime is 110126977. The reversal of 110126964 is 469621011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12787 + ... + 19589.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^110126964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110126964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

110126964 is an abundant number, since it is smaller than the sum of its proper divisors (164210316).

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

110126964 is a wasteful number, since it uses less digits than its factorization.

110126964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 110126964 is about 10494.1395073631. The cubic root of 110126964 is about 479.3262596242.

Adding to 110126964 its reverse (469621011), we get a palindrome (579747975).

The spelling of 110126964 in words is "one hundred ten million, one hundred twenty-six thousand, nine hundred sixty-four".