103827055500 has 720 divisors, whose sum is σ = 398387493504. Its totient is φ = 23471078400.

The previous prime is 103827055499. The next prime is 103827055529. The reversal of 103827055500 is 5550728301.

103827055500 is a `hidden beast` number, since 1 + 0 + 3 + 82 + 70 + 5 + 5 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 224248269 + ... + 224248731.

Almost surely, 2^103827055500 is an apocalyptic number.

103827055500 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 103827055500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199193746752).

103827055500 is an abundant number, since it is smaller than the sum of its proper divisors (294560438004).

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

103827055500 is a wasteful number, since it uses less digits than its factorization.

103827055500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 103827055500 in words is "one hundred three billion, eight hundred twenty-seven million, fifty-five thousand, five hundred".