16275105 has 108 divisors (see below), whose sum is σ = 36661716. Its totient is φ = 6652800.

The previous prime is 16275101. The next prime is 16275139. The reversal of 16275105 is 50157261.

16275105 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2614689 + 13660416 = 1617^2 + 3696^2 .

It is not a de Polignac number, because 16275105 - 2² = 16275101 is a prime.

It is a super-2 number, since 2×16275105² = 529758085522050, which contains 22 as substring.

16275105 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (16275101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 266775 + ... + 266835.

Almost surely, 2^16275105 is an apocalyptic number.

16275105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16275105 is an abundant number, since it is smaller than the sum of its proper divisors (20386611).

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

16275105 is a wasteful number, since it uses less digits than its factorization.

16275105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 16275105 is about 4034.2415644084. The cubic root of 16275105 is about 253.4202216192.

Multiplying 16275105 by its sum of digits (27), we get a triangular number (439427835 = T₂₉₆₄₅).

The spelling of 16275105 in words is "sixteen million, two hundred seventy-five thousand, one hundred five".