105066016 has 24 divisors (see below), whose sum is σ = 225653904. Its totient is φ = 47757120.

The previous prime is 105066011. The next prime is 105066083. The reversal of 105066016 is 610660501.

It is a super-2 number, since 2×105066016² = 22077735436224512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148890 + ... + 149593.

It is an arithmetic number, because the mean of its divisors is an integer number (9402246).

Almost surely, 2^105066016 is an apocalyptic number.

105066016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105066016 is an abundant number, since it is smaller than the sum of its proper divisors (120587888).

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

105066016 is a wasteful number, since it uses less digits than its factorization.

105066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298504 (or 298496 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105066016 is about 10250.1715107602. The cubic root of 105066016 is about 471.8682482024.

It can be divided in two parts, 10506601 and 6, that multiplied together give a triangular number (63039606 = T₁₁₂₂₈).

The spelling of 105066016 in words is "one hundred five million, sixty-six thousand, sixteen".