103725616236000 has 768 divisors, whose sum is σ = 375809989201920. Its totient is φ = 24799457280000.

The previous prime is 103725616235999. The next prime is 103725616236043. The reversal of 103725616236000 is 632616527301.

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, 10188150910 + ... + 10188161090.

It is an arithmetic number, because the mean of its divisors is an integer number (489335923440).

Almost surely, 2^{103725616236000} is an apocalyptic number.

103725616236000 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 103725616236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187904994600960).

103725616236000 is an abundant number, since it is smaller than the sum of its proper divisors (272084372965920).

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

103725616236000 is a wasteful number, since it uses less digits than its factorization.

103725616236000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 103725616236000 in words is "one hundred three trillion, seven hundred twenty-five billion, six hundred sixteen million, two hundred thirty-six thousand".