66735105 has 16 divisors (see below), whose sum is σ = 107176704. Its totient is φ = 35458560.

The previous prime is 66735103. The next prime is 66735131. The reversal of 66735105 is 50153766.

It is not a de Polignac number, because 66735105 - 2¹ = 66735103 is a prime.

It is a super-2 number, since 2×66735105² = 8907148478722050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66735103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4144 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (6698544).

Almost surely, 2^66735105 is an apocalyptic number.

It is an amenable number.

66735105 is a deficient number, since it is larger than the sum of its proper divisors (40441599).

66735105 is a wasteful number, since it uses less digits than its factorization.

66735105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16696.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 66735105 is about 8169.1557091293. The cubic root of 66735105 is about 405.6188375081.

The spelling of 66735105 in words is "sixty-six million, seven hundred thirty-five thousand, one hundred five".