103298802647040 has 3360 divisors, whose sum is σ = 499292931303936. Its totient is φ = 19813556551680.

The previous prime is 103298802647017. The next prime is 103298802647083. The reversal of 103298802647040 is 40746208892301.

103298802647040 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 98 + 80 + 2 + 6 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×103298802647040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7946061742074 + ... + 7946061742086.

Almost surely, 2^{103298802647040} is an apocalyptic number.

103298802647040 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 103298802647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249646465651968).

103298802647040 is an abundant number, since it is smaller than the sum of its proper divisors (395994128656896).

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

103298802647040 is an frugal number, since it uses more digits than its factorization.

103298802647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 103298802647040 in words is "one hundred three trillion, two hundred ninety-eight billion, eight hundred two million, six hundred forty-seven thousand, forty".