105414604164 has 18 divisors (see below), whose sum is σ = 266464693950. Its totient is φ = 35138201376.

The previous prime is 105414604153. The next prime is 105414604181. The reversal of 105414604164 is 461406414501.

105414604164 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 4 + 604 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98526932100 + 6887672064 = 313890^2 + 82992^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105414604164² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2928183449 = 105414604164 / (1 + 0 + 5 + 4 + 1 + 4 + 6 + 0 + 4 + 1 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1464091689 + ... + 1464091760.

Almost surely, 2^105414604164 is an apocalyptic number.

It is an amenable number.

105414604164 is an abundant number, since it is smaller than the sum of its proper divisors (161050089786).

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

105414604164 is a wasteful number, since it uses less digits than its factorization.

105414604164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928183459 (or 2928183454 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 105414604164 in words is "one hundred five billion, four hundred fourteen million, six hundred four thousand, one hundred sixty-four".