103286016 has 180 divisors, whose sum is σ = 327209652. Its totient is φ = 32292864.

The previous prime is 103286009. The next prime is 103286039. The reversal of 103286016 is 610682301.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 12960000 = 9504^2 + 3600^2 .

It is a super-2 number, since 2×103286016² = 21336002202304512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352366 + ... + 352658.

Almost surely, 2^103286016 is an apocalyptic number.

103286016 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 103286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163604826).

103286016 is an abundant number, since it is smaller than the sum of its proper divisors (223923636).

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

103286016 is an equidigital number, since it uses as much as digits as its factorization.

103286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103286016 is about 10162.9727934301. The cubic root of 103286016 is about 469.1883017210.

The spelling of 103286016 in words is "one hundred three million, two hundred eighty-six thousand, sixteen".