101225440 has 48 divisors (see below), whose sum is σ = 244723248. Its totient is φ = 39545856.

The previous prime is 101225437. The next prime is 101225459. The reversal of 101225440 is 44522101.

101225440 = 1226² + 1227² + ... + 1289².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 14236.

It is an arithmetic number, because the mean of its divisors is an integer number (5098401).

Almost surely, 2^101225440 is an apocalyptic number.

101225440 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 101225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122361624).

101225440 is an abundant number, since it is smaller than the sum of its proper divisors (143497808).

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

101225440 is a wasteful number, since it uses less digits than its factorization.

101225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14771 (or 14763 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 101225440 is about 10061.0854285211. The cubic root of 101225440 is about 466.0471871022.

Adding to 101225440 its reverse (44522101), we get a palindrome (145747541).

The spelling of 101225440 in words is "one hundred one million, two hundred twenty-five thousand, four hundred forty".