103512034145000 has 320 divisors, whose sum is σ = 276625701752400. Its totient is φ = 35961569280000.

The previous prime is 103512034144999. The next prime is 103512034145027. The reversal of 103512034145000 is 541430215301.

It can be written as a sum of positive squares in 40 ways, for example, as 92236931248036 + 11275102896964 = 9604006^2 + 3357842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4739334080 + ... + 4739355920.

Almost surely, 2^{103512034145000} is an apocalyptic number.

103512034145000 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 103512034145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138312850876200).

103512034145000 is an abundant number, since it is smaller than the sum of its proper divisors (173113667607400).

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

103512034145000 is a wasteful number, since it uses less digits than its factorization.

103512034145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26186 (or 26167 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 103512034145000 in words is "one hundred three trillion, five hundred twelve billion, thirty-four million, one hundred forty-five thousand".