110145952 has 48 divisors (see below), whose sum is σ = 248778432. Its totient is φ = 47024640.

The previous prime is 110145949. The next prime is 110145953. The reversal of 110145952 is 259541011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 110145952.

It is not an unprimeable number, because it can be changed into a prime (110145953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69327 + ... + 70897.

It is an arithmetic number, because the mean of its divisors is an integer number (5182884).

Almost surely, 2^110145952 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 110145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124389216).

110145952 is an abundant number, since it is smaller than the sum of its proper divisors (138632480).

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

110145952 is a wasteful number, since it uses less digits than its factorization.

110145952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 110145952 is about 10495.0441637946. The cubic root of 110145952 is about 479.3538063867.

Adding to 110145952 its reverse (259541011), we get a palindrome (369686963).

The spelling of 110145952 in words is "one hundred ten million, one hundred forty-five thousand, nine hundred fifty-two".