103512472765680 has 960 divisors, whose sum is σ = 371189342361600. Its totient is φ = 23661253017600.

The previous prime is 103512472765609. The next prime is 103512472765697. The reversal of 103512472765680 is 86567274215301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103512472765680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28507977465 + ... + 28507981095.

It is an arithmetic number, because the mean of its divisors is an integer number (386655564960).

Almost surely, 2^{103512472765680} is an apocalyptic number.

103512472765680 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 103512472765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185594671180800).

103512472765680 is an abundant number, since it is smaller than the sum of its proper divisors (267676869595920).

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

103512472765680 is a wasteful number, since it uses less digits than its factorization.

103512472765680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 103512472765680 in words is "one hundred three trillion, five hundred twelve billion, four hundred seventy-two million, seven hundred sixty-five thousand, six hundred eighty".