103194899979520 has 288 divisors, whose sum is σ = 256581094492800. Its totient is φ = 39718609846272.

The previous prime is 103194899979487. The next prime is 103194899979527. The reversal of 103194899979520 is 25979998491301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103194899979527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36815874439 + ... + 36815877241.

It is an arithmetic number, because the mean of its divisors is an integer number (890906578100).

Almost surely, 2^{103194899979520} is an apocalyptic number.

103194899979520 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 103194899979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128290547246400).

103194899979520 is an abundant number, since it is smaller than the sum of its proper divisors (153386194513280).

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

103194899979520 is a wasteful number, since it uses less digits than its factorization.

103194899979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 76.

The spelling of 103194899979520 in words is "one hundred three trillion, one hundred ninety-four billion, eight hundred ninety-nine million, nine hundred seventy-nine thousand, five hundred twenty".