103638528000 has 1872 divisors, whose sum is σ = 477210805344. Its totient is φ = 22295347200.

The previous prime is 103638527981. The next prime is 103638528029. The reversal of 103638528000 is 825836301.

103638528000 is a `hidden beast` number, since 10 + 3 + 638 + 5 + 2 + 8 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×103638528000³ (a number of 34 digits) contains 333 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 143 ways as a sum of consecutive naturals, for example, 6096383992 + ... + 6096384008.

It is an arithmetic number, because the mean of its divisors is an integer number (254920302).

Almost surely, 2^103638528000 is an apocalyptic number.

103638528000 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 103638528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238605402672).

103638528000 is an abundant number, since it is smaller than the sum of its proper divisors (373572277344).

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

103638528000 is an frugal number, since it uses more digits than its factorization.

103638528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 103638528000 in words is "one hundred three billion, six hundred thirty-eight million, five hundred twenty-eight thousand".