101216106 has 24 divisors (see below), whose sum is σ = 222308580. Its totient is φ = 33276096.

The previous prime is 101216099. The next prime is 101216153. The reversal of 101216106 is 601612101.

It can be written as a sum of positive squares in 2 ways, for example, as 95238081 + 5978025 = 9759^2 + 2445^2 .

It is a super-2 number, since 2×101216106² = 20489400227606472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 in 11 ways as a sum of consecutive naturals, for example, 37201 + ... + 39828.

Almost surely, 2^101216106 is an apocalyptic number.

101216106 is an abundant number, since it is smaller than the sum of its proper divisors (121092474).

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

101216106 is a wasteful number, since it uses less digits than its factorization.

101216106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77110 (or 77107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101216106 is about 10060.6215513754. The cubic root of 101216106 is about 466.0328619215.

Adding to 101216106 its reverse (601612101), we get a palindrome (702828207).

The spelling of 101216106 in words is "one hundred one million, two hundred sixteen thousand, one hundred six".