103587840 has 168 divisors, whose sum is σ = 360360468. Its totient is φ = 27525120.

The previous prime is 103587787. The next prime is 103587871. The reversal of 103587840 is 48785301.

It can be written as a sum of positive squares in 2 ways, for example, as 103550976 + 36864 = 10176^2 + 192^2 .

It is a super-3 number, since 3×103587840³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103587795 and 103587804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368500 + ... + 368780.

Almost surely, 2^103587840 is an apocalyptic number.

103587840 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 103587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180234).

103587840 is an abundant number, since it is smaller than the sum of its proper divisors (256772628).

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

103587840 is an equidigital number, since it uses as much as digits as its factorization.

103587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 103587840 is about 10177.8111595765. The cubic root of 103587840 is about 469.6448803829.

The spelling of 103587840 in words is "one hundred three million, five hundred eighty-seven thousand, eight hundred forty".