105516830 has 16 divisors (see below), whose sum is σ = 190175904. Its totient is φ = 42152160.

The previous prime is 105516811. The next prime is 105516869. The reversal of 105516830 is 38615501.

It is a super-2 number, since 2×105516830² = 22267602826497800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105516793 and 105516802.

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 7 ways as a sum of consecutive naturals, for example, 1820 + ... + 14640.

It is an arithmetic number, because the mean of its divisors is an integer number (11885994).

Almost surely, 2^105516830 is an apocalyptic number.

105516830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105516830 is a deficient number, since it is larger than the sum of its proper divisors (84659074).

105516830 is a wasteful number, since it uses less digits than its factorization.

105516830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13651.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105516830 is about 10272.1385309973. The cubic root of 105516830 is about 472.5421777714.

The spelling of 105516830 in words is "one hundred five million, five hundred sixteen thousand, eight hundred thirty".