105414930 has 48 divisors (see below), whose sum is σ = 280463040. Its totient is φ = 27455904.

The previous prime is 105414923. The next prime is 105414931. The reversal of 105414930 is 39414501.

It is a super-2 number, since 2×105414930² = 22224614933809800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105414894 and 105414903.

It is not an unprimeable number, because it can be changed into a prime (105414931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9750 + ... + 17489.

It is an arithmetic number, because the mean of its divisors is an integer number (5842980).

Almost surely, 2^105414930 is an apocalyptic number.

105414930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105414930 is an abundant number, since it is smaller than the sum of its proper divisors (175048110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105414930 is a wasteful number, since it uses less digits than its factorization.

105414930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27295 (or 27292 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105414930 is about 10267.1773141404. The cubic root of 105414930 is about 472.3900138726.

The spelling of 105414930 in words is "one hundred five million, four hundred fourteen thousand, nine hundred thirty".