103608540 has 216 divisors, whose sum is σ = 387655632. Its totient is φ = 22256640.

The previous prime is 103608529. The next prime is 103608553. The reversal of 103608540 is 45806301.

103608540 = 306² + 307² + ... + 697².

103608540 is a `hidden beast` number, since 1 + 0 + 3 + 608 + 54 + 0 = 666.

It is a super-3 number, since 3×103608540³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149595 + ... + 150285.

It is an arithmetic number, because the mean of its divisors is an integer number (1794702).

Almost surely, 2^103608540 is an apocalyptic number.

103608540 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 103608540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193827816).

103608540 is an abundant number, since it is smaller than the sum of its proper divisors (284047092).

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

103608540 is a wasteful number, since it uses less digits than its factorization.

103608540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103608540 is about 10178.8280268408. The cubic root of 103608540 is about 469.6761614082.

The spelling of 103608540 in words is "one hundred three million, six hundred eight thousand, five hundred forty".