105217138 has 16 divisors (see below), whose sum is σ = 170152920. Its totient is φ = 48508416.

The previous prime is 105217127. The next prime is 105217139. The reversal of 105217138 is 831712501.

It can be written as a sum of positive squares in 4 ways, for example, as 94148209 + 11068929 = 9703^2 + 3327^2 .

It is a super-2 number, since 2×105217138² = 22141292257822088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105217139) 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, 31618 + ... + 34786.

Almost surely, 2^105217138 is an apocalyptic number.

105217138 is a deficient number, since it is larger than the sum of its proper divisors (64935782).

105217138 is a wasteful number, since it uses less digits than its factorization.

105217138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 105217138 is about 10257.5405434246. The cubic root of 105217138 is about 472.0943774937.

Adding to 105217138 its reverse (831712501), we get a palindrome (936929639).

The spelling of 105217138 in words is "one hundred five million, two hundred seventeen thousand, one hundred thirty-eight".