105349696 has 21 divisors (see below), whose sum is σ = 209216371. Its totient is φ = 52633792.

The previous prime is 105349691. The next prime is 105349703. The reversal of 105349696 is 696943501.

The square root of 105349696 is 10264.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×105349696² = 22197116894584832, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105349691) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 81471 + ... + 82753.

Almost surely, 2^105349696 is an apocalyptic number.

105349696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105349696 is the 10264-th square number.

It is an amenable number.

105349696 is a deficient number, since it is larger than the sum of its proper divisors (103866675).

105349696 is an frugal number, since it uses more digits than its factorization.

105349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The cubic root of 105349696 is about 472.2925506101.

The spelling of 105349696 in words is "one hundred five million, three hundred forty-nine thousand, six hundred ninety-six".