105513114 has 16 divisors (see below), whose sum is σ = 241172928. Its totient is φ = 30146592.

The previous prime is 105513113. The next prime is 105513127. The reversal of 105513114 is 411315501.

It is a happy number.

It is a super-2 number, since 2×105513114² = 22266034451953992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105513113) 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, 1256067 + ... + 1256150.

It is an arithmetic number, because the mean of its divisors is an integer number (15073308).

Almost surely, 2^105513114 is an apocalyptic number.

105513114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105513114 is an abundant number, since it is smaller than the sum of its proper divisors (135659814).

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

105513114 is a wasteful number, since it uses less digits than its factorization.

105513114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512229.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105513114 is about 10271.9576517819. The cubic root of 105513114 is about 472.5366305131.

Adding to 105513114 its reverse (411315501), we get a palindrome (516828615).

The spelling of 105513114 in words is "one hundred five million, five hundred thirteen thousand, one hundred fourteen".