103827225600 has 1320 divisors, whose sum is σ = 459960703488. Its totient is φ = 22627123200.

The previous prime is 103827225589. The next prime is 103827225617. The reversal of 103827225600 is 6522728301.

103827225600 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 27 + 2 + 25 + 600 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 333849445 + ... + 333849755.

Almost surely, 2^103827225600 is an apocalyptic number.

103827225600 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 103827225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229980351744).

103827225600 is an abundant number, since it is smaller than the sum of its proper divisors (356133477888).

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

103827225600 is a wasteful number, since it uses less digits than its factorization.

103827225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 103827225600 in words is "one hundred three billion, eight hundred twenty-seven million, two hundred twenty-five thousand, six hundred".