103185225864000 has 2688 divisors, whose sum is σ = 460960358077440. Its totient is φ = 22489657344000.

The previous prime is 103185225863953. The next prime is 103185225864013. The reversal of 103185225864000 is 468522581301.

103185225864000 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 8 + 5 + 22 + 586 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135591623620 + ... + 135591624380.

Almost surely, 2^{103185225864000} is an apocalyptic number.

103185225864000 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 103185225864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230480179038720).

103185225864000 is an abundant number, since it is smaller than the sum of its proper divisors (357775132213440).

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

103185225864000 is a wasteful number, since it uses less digits than its factorization.

103185225864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 103185225864000 in words is "one hundred three trillion, one hundred eighty-five billion, two hundred twenty-five million, eight hundred sixty-four thousand".