103349964172000 has 3072 divisors, whose sum is σ = 349220383948800. Its totient is φ = 29185228800000.

The previous prime is 103349964171991. The next prime is 103349964172001. The reversal of 103349964172000 is 271469943301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103349964172001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1023266971950 + ... + 1023266972050.

It is an arithmetic number, because the mean of its divisors is an integer number (113678510400).

Almost surely, 2^{103349964172000} is an apocalyptic number.

103349964172000 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 103349964172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174610191974400).

103349964172000 is an abundant number, since it is smaller than the sum of its proper divisors (245870419776800).

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

103349964172000 is a wasteful number, since it uses less digits than its factorization.

103349964172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 103349964172000 in words is "one hundred three trillion, three hundred forty-nine billion, nine hundred sixty-four million, one hundred seventy-two thousand".