106008016 has 10 divisors (see below), whose sum is σ = 205390562. Its totient is φ = 53004000.

The previous prime is 106007981. The next prime is 106008037. The reversal of 106008016 is 610800601.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 400 = 10296^2 + 20^2 .

It is a super-2 number, since 2×106008016² = 22475398912512512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3312735 + ... + 3312766.

Almost surely, 2^106008016 is an apocalyptic number.

106008016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106008016 is a deficient number, since it is larger than the sum of its proper divisors (99382546).

106008016 is an equidigital number, since it uses as much as digits as its factorization.

106008016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625509 (or 6625503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 106008016 is about 10296.0194250011. The cubic root of 106008016 is about 473.2742785986.

Adding to 106008016 its reverse (610800601), we get a palindrome (716808617).

The spelling of 106008016 in words is "one hundred six million, eight thousand, sixteen".