93666105 has 96 divisors (see below), whose sum is σ = 192393600. Its totient is φ = 42861312.

The previous prime is 93666103. The next prime is 93666109. The reversal of 93666105 is 50166639.

It is not a de Polignac number, because 93666105 - 2¹ = 93666103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93666105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93666101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1767259 + ... + 1767311.

It is an arithmetic number, because the mean of its divisors is an integer number (2004100).

Almost surely, 2^93666105 is an apocalyptic number.

93666105 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

93666105 is an abundant number, since it is smaller than the sum of its proper divisors (98727495).

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

93666105 is a wasteful number, since it uses less digits than its factorization.

93666105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 93666105 is about 9678.1250766871. The cubic root of 93666105 is about 454.1445990269.

The spelling of 93666105 in words is "ninety-three million, six hundred sixty-six thousand, one hundred five".