105314408 has 8 divisors (see below), whose sum is σ = 197464530. Its totient is φ = 52657200.

The previous prime is 105314389. The next prime is 105314411. The reversal of 105314408 is 804413501.

It can be written as a sum of positive squares in only one way, i.e., 97574884 + 7739524 = 9878^2 + 2782^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105314408² = 22182249064780928, which contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 6582143 + ... + 6582158.

Almost surely, 2^105314408 is an apocalyptic number.

It is an amenable number.

105314408 is a deficient number, since it is larger than the sum of its proper divisors (92150122).

105314408 is a wasteful number, since it uses less digits than its factorization.

105314408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164307 (or 13164303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105314408 is about 10262.2808380983. The cubic root of 105314408 is about 472.2398115852.

Adding to 105314408 its reverse (804413501), we get a palindrome (909727909).

The spelling of 105314408 in words is "one hundred five million, three hundred fourteen thousand, four hundred eight".