103877585568 has 288 divisors, whose sum is σ = 317144056320. Its totient is φ = 33423114240.

The previous prime is 103877585551. The next prime is 103877585611. The reversal of 103877585568 is 865585778301.

103877585568 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 7 + 75 + 8 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30923473 + ... + 30926831.

It is an arithmetic number, because the mean of its divisors is an integer number (1101194640).

Almost surely, 2^103877585568 is an apocalyptic number.

103877585568 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 103877585568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158572028160).

103877585568 is an abundant number, since it is smaller than the sum of its proper divisors (213266470752).

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

103877585568 is an equidigital number, since it uses as much as digits as its factorization.

103877585568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 103877585568 in words is "one hundred three billion, eight hundred seventy-seven million, five hundred eighty-five thousand, five hundred sixty-eight".