103866840 has 256 divisors, whose sum is σ = 432000000. Its totient is φ = 21565440.

The previous prime is 103866799. The next prime is 103866869. The reversal of 103866840 is 48668301.

It is a happy number.

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 = 103866795 and 103866804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82536 + ... + 83784.

It is an arithmetic number, because the mean of its divisors is an integer number (1687500).

Almost surely, 2^103866840 is an apocalyptic number.

103866840 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 103866840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000000).

103866840 is an abundant number, since it is smaller than the sum of its proper divisors (328133160).

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

103866840 is a wasteful number, since it uses less digits than its factorization.

103866840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 103866840 is about 10191.5082298941. The cubic root of 103866840 is about 470.0661443049.

The spelling of 103866840 in words is "one hundred three million, eight hundred sixty-six thousand, eight hundred forty".