103270073057280 has 960 divisors, whose sum is σ = 393150524256000. Its totient is φ = 25626710900736.

The previous prime is 103270073057233. The next prime is 103270073057293. The reversal of 103270073057280 is 82750370072301.

It is a happy number.

103270073057280 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 7 + 0 + 0 + 73 + 0 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3346498491 + ... + 3346529349.

It is an arithmetic number, because the mean of its divisors is an integer number (409531796100).

Almost surely, 2^{103270073057280} is an apocalyptic number.

103270073057280 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 103270073057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196575262128000).

103270073057280 is an abundant number, since it is smaller than the sum of its proper divisors (289880451198720).

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

103270073057280 is an equidigital number, since it uses as much as digits as its factorization.

103270073057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31007 (or 30975 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 103270073057280 in words is "one hundred three trillion, two hundred seventy billion, seventy-three million, fifty-seven thousand, two hundred eighty".