103198372704 has 960 divisors, whose sum is σ = 387272793600. Its totient is φ = 26280640512.

The previous prime is 103198372703. The next prime is 103198372709. The reversal of 103198372704 is 407273891301.

It is a self number, because there is not a number n which added to its sum of digits gives 103198372704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103198372703) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 742434267 + ... + 742434405.

It is an arithmetic number, because the mean of its divisors is an integer number (403409160).

Almost surely, 2^103198372704 is an apocalyptic number.

103198372704 is a gapful number since it is divisible by the number (14) 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 103198372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193636396800).

103198372704 is an abundant number, since it is smaller than the sum of its proper divisors (284074420896).

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

103198372704 is a wasteful number, since it uses less digits than its factorization.

103198372704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 103198372704 in words is "one hundred three billion, one hundred ninety-eight million, three hundred seventy-two thousand, seven hundred four".