103381185600 has 672 divisors, whose sum is σ = 469869926400. Its totient is φ = 21481113600.

The previous prime is 103381185577. The next prime is 103381185613. The reversal of 103381185600 is 6581183301.

103381185600 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 81 + 18 + 560 + 0 = 666.

103381185600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3310861 + ... + 3341939.

It is an arithmetic number, because the mean of its divisors is an integer number (699211200).

Almost surely, 2^103381185600 is an apocalyptic number.

103381185600 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 103381185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234934963200).

103381185600 is an abundant number, since it is smaller than the sum of its proper divisors (366488740800).

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

103381185600 is a wasteful number, since it uses less digits than its factorization.

103381185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31128 (or 31107 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 103381185600 in words is "one hundred three billion, three hundred eighty-one million, one hundred eighty-five thousand, six hundred".