103689216 has 66 divisors (see below), whose sum is σ = 299426972. Its totient is φ = 34560000.

The previous prime is 103689169. The next prime is 103689227. The reversal of 103689216 is 612986301.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3591 + ... + 14841.

Almost surely, 2^103689216 is an apocalyptic number.

103689216 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 103689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149713486).

103689216 is an abundant number, since it is smaller than the sum of its proper divisors (195737756).

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

103689216 is a wasteful number, since it uses less digits than its factorization.

103689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11277 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103689216 is about 10182.7901873701. The cubic root of 103689216 is about 469.7980360572.

The spelling of 103689216 in words is "one hundred three million, six hundred eighty-nine thousand, two hundred sixteen".