103140255504000 has 1024 divisors, whose sum is σ = 404010939870720. Its totient is φ = 22946660352000.

The previous prime is 103140255503969. The next prime is 103140255504001. The reversal of 103140255504000 is 405552041301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (103140255504001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1187428572 + ... + 1187515428.

Almost surely, 2^{103140255504000} is an apocalyptic number.

103140255504000 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 103140255504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202005469935360).

103140255504000 is an abundant number, since it is smaller than the sum of its proper divisors (300870684366720).

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

103140255504000 is a wasteful number, since it uses less digits than its factorization.

103140255504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87086 (or 87064 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 103140255504000 in words is "one hundred three trillion, one hundred forty billion, two hundred fifty-five million, five hundred four thousand".