103253225440 has 96 divisors (see below), whose sum is σ = 246055350240. Its totient is φ = 40943314944.

The previous prime is 103253225407. The next prime is 103253225483. The reversal of 103253225440 is 44522352301.

It is a super-2 number, since 2×103253225440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16832614 + ... + 16838746.

It is an arithmetic number, because the mean of its divisors is an integer number (2563076565).

Almost surely, 2^103253225440 is an apocalyptic number.

103253225440 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 103253225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123027675120).

103253225440 is an abundant number, since it is smaller than the sum of its proper divisors (142802124800).

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

103253225440 is a wasteful number, since it uses less digits than its factorization.

103253225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 103253225440 its reverse (44522352301), we get a palindrome (147775577741).

The spelling of 103253225440 in words is "one hundred three billion, two hundred fifty-three million, two hundred twenty-five thousand, four hundred forty".