381180105 has 48 divisors (see below), whose sum is σ = 693149184. Its totient is φ = 193553280.

The previous prime is 381180101. The next prime is 381180113. The reversal of 381180105 is 501081183.

381180105 is a `hidden beast` number, since 381 + 180 + 105 = 666.

It is not a de Polignac number, because 381180105 - 2² = 381180101 is a prime.

It is a super-2 number, since 2×381180105² = 290596544895622050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (381180101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75820 + ... + 80690.

It is an arithmetic number, because the mean of its divisors is an integer number (14440608).

Almost surely, 2^381180105 is an apocalyptic number.

It is an amenable number.

381180105 is a deficient number, since it is larger than the sum of its proper divisors (311969079).

381180105 is a wasteful number, since it uses less digits than its factorization.

381180105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 381180105 is about 19523.8342801817. The cubic root of 381180105 is about 725.0646664475.

The spelling of 381180105 in words is "three hundred eighty-one million, one hundred eighty thousand, one hundred five".