105364413 has 24 divisors (see below), whose sum is σ = 189748416. Its totient is φ = 54734400.

The previous prime is 105364411. The next prime is 105364421. The reversal of 105364413 is 314463501.

105364413 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 644 + 13 = 666.

It is not a de Polignac number, because 105364413 - 2¹ = 105364411 is a prime.

It is a super-2 number, since 2×105364413² = 22203319053669138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105364411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75328 + ... + 76713.

It is an arithmetic number, because the mean of its divisors is an integer number (7906184).

Almost surely, 2^105364413 is an apocalyptic number.

It is an amenable number.

105364413 is a deficient number, since it is larger than the sum of its proper divisors (84384003).

105364413 is a wasteful number, since it uses less digits than its factorization.

105364413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152065 (or 152062 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105364413 is about 10264.7168981906. The cubic root of 105364413 is about 472.3145421491.

Subtracting from 105364413 its sum of digits (27), we obtain a triangular number (105364386 = T₁₄₅₁₆).

The spelling of 105364413 in words is "one hundred five million, three hundred sixty-four thousand, four hundred thirteen".