203109123840 has 1152 divisors, whose sum is σ = 822257049600. Its totient is φ = 42542825472.

The previous prime is 203109123817. The next prime is 203109123863. The reversal of 203109123840 is 48321901302.

203109123840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203109123817) and next prime (203109123863).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1052378784 + ... + 1052378976.

It is an arithmetic number, because the mean of its divisors is an integer number (713764800).

Almost surely, 2^203109123840 is an apocalyptic number.

203109123840 is a gapful number since it is divisible by the number (20) 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 203109123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411128524800).

203109123840 is an abundant number, since it is smaller than the sum of its proper divisors (619147925760).

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

203109123840 is a wasteful number, since it uses less digits than its factorization.

203109123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 203109123840 in words is "two hundred three billion, one hundred nine million, one hundred twenty-three thousand, eight hundred forty".