103362201895680 has 2304 divisors, whose sum is σ = 467552877281280. Its totient is φ = 21034465689600.

The previous prime is 103362201895663. The next prime is 103362201895697. The reversal of 103362201895680 is 86598102263301.

103362201895680 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 62 + 2 + 0 + 18 + 9 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103362201895663) and next prime (103362201895697).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32270432959 + ... + 32270436161.

It is an arithmetic number, because the mean of its divisors is an integer number (202930936320).

Almost surely, 2^{103362201895680} is an apocalyptic number.

103362201895680 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 103362201895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233776438640640).

103362201895680 is an abundant number, since it is smaller than the sum of its proper divisors (364190675385600).

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

103362201895680 is a wasteful number, since it uses less digits than its factorization.

103362201895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 103362201895680 in words is "one hundred three trillion, three hundred sixty-two billion, two hundred one million, eight hundred ninety-five thousand, six hundred eighty".