105325947 has 16 divisors (see below), whose sum is σ = 162823680. Its totient is φ = 67163976.

The previous prime is 105325907. The next prime is 105325967. The reversal of 105325947 is 749523501.

105325947 is a `hidden beast` number, since 10 + 53 + 2 + 594 + 7 = 666.

It is not a de Polignac number, because 105325947 - 2⁷ = 105325819 is a prime.

It is a super-2 number, since 2×105325947² = 22187110222893618, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105325907) 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, 84183 + ... + 85424.

It is an arithmetic number, because the mean of its divisors is an integer number (10176480).

Almost surely, 2^105325947 is an apocalyptic number.

105325947 is a deficient number, since it is larger than the sum of its proper divisors (57497733).

105325947 is a wasteful number, since it uses less digits than its factorization.

105325947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169639 (or 169633 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 105325947 is about 10262.8430271538. The cubic root of 105325947 is about 472.2570582795.

It can be divided in two parts, 1053 and 25947, that added together give a cube (27000 = 30³).

The spelling of 105325947 in words is "one hundred five million, three hundred twenty-five thousand, nine hundred forty-seven".