105100114 has 16 divisors (see below), whose sum is σ = 181254528. Its totient is φ = 44772192.

The previous prime is 105100109. The next prime is 105100117. The reversal of 105100114 is 411001501.

It is a super-2 number, since 2×105100114² = 22092067925625992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105100094 and 105100103.

It is not an unprimeable number, because it can be changed into a prime (105100117) by changing a digit.

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, 20139 + ... + 24814.

It is an arithmetic number, because the mean of its divisors is an integer number (11328408).

Almost surely, 2^105100114 is an apocalyptic number.

105100114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105100114 is a deficient number, since it is larger than the sum of its proper divisors (76154414).

105100114 is a wasteful number, since it uses less digits than its factorization.

105100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45129.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 105100114 is about 10251.8346650734. The cubic root of 105100114 is about 471.9192892015.

Adding to 105100114 its reverse (411001501), we get a palindrome (516101615).

The spelling of 105100114 in words is "one hundred five million, one hundred thousand, one hundred fourteen".