103188960000 has 1080 divisors, whose sum is σ = 440788027680. Its totient is φ = 22708224000.

The previous prime is 103188959987. The next prime is 103188960031. The reversal of 103188960000 is 69881301.

103188960000 is a `hidden beast` number, since 10 + 31 + 8 + 8 + 9 + 600 + 0 + 0 = 666.

It is a super-2 number, since 2×103188960000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 292319824 + ... + 292320176.

Almost surely, 2^103188960000 is an apocalyptic number.

103188960000 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 103188960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220394013840).

103188960000 is an abundant number, since it is smaller than the sum of its proper divisors (337599067680).

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

103188960000 is an equidigital number, since it uses as much as digits as its factorization.

103188960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 103188960000 in words is "one hundred three billion, one hundred eighty-eight million, nine hundred sixty thousand".