103840590 has 192 divisors, whose sum is σ = 318297600. Its totient is φ = 21202944.

The previous prime is 103840547. The next prime is 103840591. The reversal of 103840590 is 95048301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103840591) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1759981 + ... + 1760039.

It is an arithmetic number, because the mean of its divisors is an integer number (1657800).

Almost surely, 2^103840590 is an apocalyptic number.

103840590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103840590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159148800).

103840590 is an abundant number, since it is smaller than the sum of its proper divisors (214457010).

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

103840590 is a wasteful number, since it uses less digits than its factorization.

103840590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 103840590 is about 10190.2203116518. The cubic root of 103840590 is about 470.0265414316.

Adding to 103840590 its reverse (95048301), we get a palindrome (198888891).

The spelling of 103840590 in words is "one hundred three million, eight hundred forty thousand, five hundred ninety".