103214235040 has 576 divisors, whose sum is σ = 312696236160. Its totient is φ = 31979888640.

The previous prime is 103214235031. The next prime is 103214235067. The reversal of 103214235040 is 40532412301.

It is a junction number, because it is equal to n+sod(n) for n = 103214234996 and 103214235014.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336202567 + ... + 336202873.

It is an arithmetic number, because the mean of its divisors is an integer number (542875410).

Almost surely, 2^103214235040 is an apocalyptic number.

103214235040 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 103214235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156348118080).

103214235040 is an abundant number, since it is smaller than the sum of its proper divisors (209482001120).

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

103214235040 is a wasteful number, since it uses less digits than its factorization.

103214235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 103214235040 its reverse (40532412301), we get a palindrome (143746647341).

The spelling of 103214235040 in words is "one hundred three billion, two hundred fourteen million, two hundred thirty-five thousand, forty".