105011216 has 20 divisors (see below), whose sum is σ = 203644332. Its totient is φ = 52457856.

The previous prime is 105011213. The next prime is 105011219. The reversal of 105011216 is 612110501.

It is an interprime number because it is at equal distance from previous prime (105011213) and next prime (105011219).

It can be written as a sum of positive squares in 2 ways, for example, as 47554816 + 57456400 = 6896^2 + 7580^2 .

It is a super-2 number, since 2×105011216² = 22054710971597312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105011194 and 105011203.

It is not an unprimeable number, because it can be changed into a prime (105011213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20990 + ... + 25506.

Almost surely, 2^105011216 is an apocalyptic number.

105011216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105011216 is a deficient number, since it is larger than the sum of its proper divisors (98633116).

105011216 is a wasteful number, since it uses less digits than its factorization.

105011216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 105011216 is about 10247.4980361062. The cubic root of 105011216 is about 471.7861954195.

Adding to 105011216 its reverse (612110501), we get a palindrome (717121717).

The spelling of 105011216 in words is "one hundred five million, eleven thousand, two hundred sixteen".