103566040 has 80 divisors (see below), whose sum is σ = 255574080. Its totient is φ = 37731840.

The previous prime is 103566031. The next prime is 103566053. The reversal of 103566040 is 40665301.

It is a super-3 number, since 3×103566040³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103565996 and 103566014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3340825 + ... + 3340855.

It is an arithmetic number, because the mean of its divisors is an integer number (3194676).

Almost surely, 2^103566040 is an apocalyptic number.

103566040 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 103566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127787040).

103566040 is an abundant number, since it is smaller than the sum of its proper divisors (152008040).

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

103566040 is an frugal number, since it uses more digits than its factorization.

103566040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 103566040 is about 10176.7401460389. The cubic root of 103566040 is about 469.6119325753.

The spelling of 103566040 in words is "one hundred three million, five hundred sixty-six thousand, forty".