105001314 has 32 divisors (see below), whose sum is σ = 230916096. Its totient is φ = 31565520.

The previous prime is 105001307. The next prime is 105001357. The reversal of 105001314 is 413100501.

It is a super-2 number, since 2×105001314² = 22050551883453192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105001293 and 105001302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2119 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (7216128).

Almost surely, 2^105001314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105001314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115458048).

105001314 is an abundant number, since it is smaller than the sum of its proper divisors (125914782).

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

105001314 is a wasteful number, since it uses less digits than its factorization.

105001314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105001314 is about 10247.0148823938. The cubic root of 105001314 is about 471.7713659758.

Adding to 105001314 its reverse (413100501), we get a palindrome (518101815).

The spelling of 105001314 in words is "one hundred five million, one thousand, three hundred fourteen".