105210716 has 12 divisors (see below), whose sum is σ = 198281832. Its totient is φ = 48558768.

The previous prime is 105210701. The next prime is 105210761. The reversal of 105210716 is 617012501.

It is a super-3 number, since 3×105210716³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105210691 and 105210700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1011590 + ... + 1011693.

It is an arithmetic number, because the mean of its divisors is an integer number (16523486).

Almost surely, 2^105210716 is an apocalyptic number.

It is an amenable number.

105210716 is a deficient number, since it is larger than the sum of its proper divisors (93071116).

105210716 is a wasteful number, since it uses less digits than its factorization.

105210716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023300 (or 2023298 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 105210716 is about 10257.2275006456. The cubic root of 105210716 is about 472.0847724305.

The spelling of 105210716 in words is "one hundred five million, two hundred ten thousand, seven hundred sixteen".