110164240 has 80 divisors (see below), whose sum is σ = 265483008. Its totient is φ = 42487808.

The previous prime is 110164177. The next prime is 110164247. The reversal of 110164240 is 42461011.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (110164247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311904 + ... + 312256.

Almost surely, 2^110164240 is an apocalyptic number.

110164240 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 110164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132741504).

110164240 is an abundant number, since it is smaller than the sum of its proper divisors (155318768).

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

110164240 is a wasteful number, since it uses less digits than its factorization.

110164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 110164240 is about 10495.9153960005. The cubic root of 110164240 is about 479.3803346344.

It can be divided in two parts, 1101 and 64240, that added together give a triangular number (65341 = T₃₆₁).

The spelling of 110164240 in words is "one hundred ten million, one hundred sixty-four thousand, two hundred forty".