103801824 has 144 divisors (see below), whose sum is σ = 350034048. Its totient is φ = 29642112.

The previous prime is 103801811. The next prime is 103801837. The reversal of 103801824 is 428108301.

It is an interprime number because it is at equal distance from previous prime (103801811) and next prime (103801837).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 53479 + ... + 55385.

It is an arithmetic number, because the mean of its divisors is an integer number (2430792).

Almost surely, 2^103801824 is an apocalyptic number.

103801824 is a gapful number since it is divisible by the number (14) 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 103801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175017024).

103801824 is an abundant number, since it is smaller than the sum of its proper divisors (246232224).

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

103801824 is an equidigital number, since it uses as much as digits as its factorization.

103801824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 103801824 is about 10188.3180162380. The cubic root of 103801824 is about 469.9680437002.

The spelling of 103801824 in words is "one hundred three million, eight hundred one thousand, eight hundred twenty-four".