103823640 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 27504000.

The previous prime is 103823627. The next prime is 103823663. The reversal of 103823640 is 46328301.

It is a happy number.

103823640 is a `hidden beast` number, since 10 + 3 + 8 + 2 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270889 + ... + 271271.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^103823640 is an apocalyptic number.

103823640 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 103823640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

103823640 is an abundant number, since it is smaller than the sum of its proper divisors (244541160).

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

103823640 is a wasteful number, since it uses less digits than its factorization.

103823640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103823640 is about 10189.3885979484. The cubic root of 103823640 is about 470.0009657442. Note that the first 3 decimals are identical.

The spelling of 103823640 in words is "one hundred three million, eight hundred twenty-three thousand, six hundred forty".