103140576910800 has 1440 divisors, whose sum is σ = 426478283142912. Its totient is φ = 22754304000000.

The previous prime is 103140576910751. The next prime is 103140576910807. The reversal of 103140576910800 is 8019675041301.

103140576910800 is a `hidden beast` number, since 1 + 0 + 31 + 40 + 576 + 9 + 1 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103140576910807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12530742685 + ... + 12530750915.

Almost surely, 2^{103140576910800} is an apocalyptic number.

103140576910800 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 103140576910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213239141571456).

103140576910800 is an abundant number, since it is smaller than the sum of its proper divisors (323337706232112).

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

103140576910800 is a wasteful number, since it uses less digits than its factorization.

103140576910800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 103140576910800 in words is "one hundred three trillion, one hundred forty billion, five hundred seventy-six million, nine hundred ten thousand, eight hundred".