103887270432 has 576 divisors, whose sum is σ = 345633619968. Its totient is φ = 29304576000.

The previous prime is 103887270407. The next prime is 103887270437. The reversal of 103887270432 is 234072788301.

103887270432 is a `hidden beast` number, since 1 + 0 + 3 + 88 + 72 + 70 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (103887270437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327719938 + ... + 327720254.

It is an arithmetic number, because the mean of its divisors is an integer number (600058368).

Almost surely, 2^103887270432 is an apocalyptic number.

103887270432 is a gapful number since it is divisible by the number (12) 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 103887270432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172816809984).

103887270432 is an abundant number, since it is smaller than the sum of its proper divisors (241746349536).

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

103887270432 is a wasteful number, since it uses less digits than its factorization.

103887270432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 103887270432 in words is "one hundred three billion, eight hundred eighty-seven million, two hundred seventy thousand, four hundred thirty-two".