103966496 has 48 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 50089728.

The previous prime is 103966487. The next prime is 103966501. The reversal of 103966496 is 694669301.

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 7 ways as a sum of consecutive naturals, for example, 99545 + ... + 100583.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^103966496 is an apocalyptic number.

103966496 is a gapful number since it is divisible by the number (16) 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 103966496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

103966496 is an abundant number, since it is smaller than the sum of its proper divisors (108318304).

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

103966496 is a wasteful number, since it uses less digits than its factorization.

103966496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 103966496 is about 10196.3962261183. The cubic root of 103966496 is about 470.2164326861.

It can be divided in two parts, 1039 and 66496, that multiplied together give a square (69089344 = 8312²).

The spelling of 103966496 in words is "one hundred three million, nine hundred sixty-six thousand, four hundred ninety-six".