103053081600 has 1584 divisors, whose sum is σ = 464200646400. Its totient is φ = 21937029120.

The previous prime is 103053081587. The next prime is 103053081617. The reversal of 103053081600 is 6180350301.

103053081600 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 53 + 0 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1746662371 + ... + 1746662429.

Almost surely, 2^103053081600 is an apocalyptic number.

103053081600 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 103053081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232100323200).

103053081600 is an abundant number, since it is smaller than the sum of its proper divisors (361147564800).

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

103053081600 is a wasteful number, since it uses less digits than its factorization.

103053081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 103053081600 in words is "one hundred three billion, fifty-three million, eighty-one thousand, six hundred".