103550107906512 has 240 divisors, whose sum is σ = 293143094724480. Its totient is φ = 34119691803648.

The previous prime is 103550107906507. The next prime is 103550107906541. The reversal of 103550107906512 is 215609701055301.

103550107906512 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 50 + 10 + 79 + 0 + 6 + 512 = 666.

It is a super-3 number, since 3×103550107906512³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12679083453 + ... + 12679091619.

It is an arithmetic number, because the mean of its divisors is an integer number (1221429561352).

Almost surely, 2^{103550107906512} is an apocalyptic number.

103550107906512 is a gapful number since it is divisible by the number (12) 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 103550107906512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146571547362240).

103550107906512 is an abundant number, since it is smaller than the sum of its proper divisors (189592986817968).

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

103550107906512 is a wasteful number, since it uses less digits than its factorization.

103550107906512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 103550107906512 in words is "one hundred three trillion, five hundred fifty billion, one hundred seven million, nine hundred six thousand, five hundred twelve".