103253450240 has 160 divisors (see below), whose sum is σ = 255185631360. Its totient is φ = 40046690304.

The previous prime is 103253450219. The next prime is 103253450257. The reversal of 103253450240 is 42054352301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×103253450240² (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, 13110944 + ... + 13118816.

It is an arithmetic number, because the mean of its divisors is an integer number (1594910196).

Almost surely, 2^103253450240 is an apocalyptic number.

103253450240 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 103253450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127592815680).

103253450240 is an abundant number, since it is smaller than the sum of its proper divisors (151932181120).

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

103253450240 is an equidigital number, since it uses as much as digits as its factorization.

103253450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 103253450240 in words is "one hundred three billion, two hundred fifty-three million, four hundred fifty thousand, two hundred forty".