103311816 has 64 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 32155200.

The previous prime is 103311779. The next prime is 103311821. The reversal of 103311816 is 618113301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 30781 + ... + 33971.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^103311816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103311816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

103311816 is an abundant number, since it is smaller than the sum of its proper divisors (172476984).

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

103311816 is a wasteful number, since it uses less digits than its factorization.

103311816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 103311816 is about 10164.2420278150. The cubic root of 103311816 is about 469.2273649323.

The spelling of 103311816 in words is "one hundred three million, three hundred eleven thousand, eight hundred sixteen".