103854187728 has 240 divisors, whose sum is σ = 307673593344. Its totient is φ = 32655467520.

The previous prime is 103854187727. The next prime is 103854187733. The reversal of 103854187728 is 827781458301.

103854187728 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 541 + 8 + 77 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103854187727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38563150 + ... + 38565842.

Almost surely, 2^103854187728 is an apocalyptic number.

103854187728 is a gapful number since it is divisible by the number (18) 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 103854187728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153836796672).

103854187728 is an abundant number, since it is smaller than the sum of its proper divisors (203819405616).

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

103854187728 is a wasteful number, since it uses less digits than its factorization.

103854187728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 103854187728 in words is "one hundred three billion, eight hundred fifty-four million, one hundred eighty-seven thousand, seven hundred twenty-eight".