103321295400960 has 6240 divisors, whose sum is σ = 513997459176960. Its totient is φ = 19318217637888.

The previous prime is 103321295400949. The next prime is 103321295401019. The reversal of 103321295400960 is 69004592123301.

103321295400960 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 12 + 9 + 540 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 633872977839 + ... + 633872978001.

Almost surely, 2^{103321295400960} is an apocalyptic number.

103321295400960 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 103321295400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256998729588480).

103321295400960 is an abundant number, since it is smaller than the sum of its proper divisors (410676163776000).

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

103321295400960 is a wasteful number, since it uses less digits than its factorization.

103321295400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 103321295400960 in words is "one hundred three trillion, three hundred twenty-one billion, two hundred ninety-five million, four hundred thousand, nine hundred sixty".