105780830 has 16 divisors (see below), whose sum is σ = 190522800. Its totient is φ = 42286272.

The previous prime is 105780827. The next prime is 105780839. The reversal of 105780830 is 38087501.

It is a super-2 number, since 2×105780830² = 22379167990977800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105780839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28946 + ... + 32394.

It is an arithmetic number, because the mean of its divisors is an integer number (11907675).

Almost surely, 2^105780830 is an apocalyptic number.

105780830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105780830 is a deficient number, since it is larger than the sum of its proper divisors (84741970).

105780830 is a wasteful number, since it uses less digits than its factorization.

105780830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 105780830 is about 10284.9807972597. The cubic root of 105780830 is about 472.9359450914.

The spelling of 105780830 in words is "one hundred five million, seven hundred eighty thousand, eight hundred thirty".