103138998667200 has 840 divisors, whose sum is σ = 402160413126384. Its totient is φ = 25837719552000.

The previous prime is 103138998667147. The next prime is 103138998667241. The reversal of 103138998667200 is 2766899831301.

103138998667200 is a `hidden beast` number, since 10 + 31 + 389 + 9 + 8 + 6 + 6 + 7 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1191887935 + ... + 1191974465.

Almost surely, 2^{103138998667200} is an apocalyptic number.

103138998667200 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 103138998667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080206563192).

103138998667200 is an abundant number, since it is smaller than the sum of its proper divisors (299021414459184).

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

103138998667200 is a wasteful number, since it uses less digits than its factorization.

103138998667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87123 (or 87099 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 103138998667200 in words is "one hundred three trillion, one hundred thirty-eight billion, nine hundred ninety-eight million, six hundred sixty-seven thousand, two hundred".