103321543127040 has 1248 divisors, whose sum is σ = 433152957562560. Its totient is φ = 23292395126784.

The previous prime is 103321543127039. The next prime is 103321543127087. The reversal of 103321543127040 is 40721345123301.

103321543127040 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 1 + 543 + 1 + 2 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103321543126986 and 103321543127004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1977911802 + ... + 1977964038.

Almost surely, 2^{103321543127040} is an apocalyptic number.

103321543127040 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 103321543127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216576478781280).

103321543127040 is an abundant number, since it is smaller than the sum of its proper divisors (329831414435520).

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

103321543127040 is an equidigital number, since it uses as much as digits as its factorization.

103321543127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52362 (or 52327 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 103321543127040 in words is "one hundred three trillion, three hundred twenty-one billion, five hundred forty-three million, one hundred twenty-seven thousand, forty".