105136314 has 32 divisors (see below), whose sum is σ = 222936576. Its totient is φ = 32996160.

The previous prime is 105136307. The next prime is 105136331. The reversal of 105136314 is 413631501.

It is a super-2 number, since 2×105136314² = 22107289043013192, which contains 22 as substring.

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, 757 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (6966768).

Almost surely, 2^105136314 is an apocalyptic number.

105136314 is an abundant number, since it is smaller than the sum of its proper divisors (117800262).

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

105136314 is a wasteful number, since it uses less digits than its factorization.

105136314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15350.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105136314 is about 10253.6000507139. The cubic root of 105136314 is about 471.9734645860.

Adding to 105136314 its reverse (413631501), we get a palindrome (518767815).

The spelling of 105136314 in words is "one hundred five million, one hundred thirty-six thousand, three hundred fourteen".