101114440 has 96 divisors (see below), whose sum is σ = 276281280. Its totient is φ = 33145728.

The previous prime is 101114411. The next prime is 101114471. The reversal of 101114440 is 44411101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43959 + ... + 46201.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2^101114440 is an apocalyptic number.

101114440 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 101114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138140640).

101114440 is an abundant number, since it is smaller than the sum of its proper divisors (175166840).

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

101114440 is a wasteful number, since it uses less digits than its factorization.

101114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 101114440 is about 10055.5676120247. The cubic root of 101114440 is about 465.8767748746.

Adding to 101114440 its reverse (44411101), we get a palindrome (145525541).

It can be divided in two parts, 1011 and 14440, that added together give a palindrome (15451).

The spelling of 101114440 in words is "one hundred one million, one hundred fourteen thousand, four hundred forty".