103385840 has 80 divisors (see below), whose sum is σ = 267973920. Its totient is φ = 36864000.

The previous prime is 103385839. The next prime is 103385927. The reversal of 103385840 is 48583301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 103385797 and 103385806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23840 + ... + 27840.

It is an arithmetic number, because the mean of its divisors is an integer number (3349674).

Almost surely, 2^103385840 is an apocalyptic number.

103385840 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 103385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133986960).

103385840 is an abundant number, since it is smaller than the sum of its proper divisors (164588080).

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

103385840 is a wasteful number, since it uses less digits than its factorization.

103385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 103385840 is about 10167.8827687971. The cubic root of 103385840 is about 469.3394069534.

The spelling of 103385840 in words is "one hundred three million, three hundred eighty-five thousand, eight hundred forty".