103731840 has 384 divisors, whose sum is σ = 400982400. Its totient is φ = 25546752.

The previous prime is 103731821. The next prime is 103731851. The reversal of 103731840 is 48137301.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576946 + ... + 3576974.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^103731840 is an apocalyptic number.

103731840 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 103731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

103731840 is an abundant number, since it is smaller than the sum of its proper divisors (297250560).

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

103731840 is an equidigital number, since it uses as much as digits as its factorization.

103731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103731840 is about 10184.8829153800. The cubic root of 103731840 is about 469.8624012472.

The spelling of 103731840 in words is "one hundred three million, seven hundred thirty-one thousand, eight hundred forty".