103667720 has 128 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 36080640.

The previous prime is 103667719. The next prime is 103667737. The reversal of 103667720 is 27766301.

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 31 ways as a sum of consecutive naturals, for example, 951026 + ... + 951134.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^103667720 is an apocalyptic number.

103667720 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 103667720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

103667720 is an abundant number, since it is smaller than the sum of its proper divisors (162444280).

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

103667720 is a wasteful number, since it uses less digits than its factorization.

103667720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 103667720 is about 10181.7346262805. The cubic root of 103667720 is about 469.7655689184.

The spelling of 103667720 in words is "one hundred three million, six hundred sixty-seven thousand, seven hundred twenty".