101106016 has 24 divisors (see below), whose sum is σ = 217148904. Its totient is φ = 45957120.

The previous prime is 101106013. The next prime is 101106023. The reversal of 101106016 is 610601101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106013) 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, 143265 + ... + 143968.

It is an arithmetic number, because the mean of its divisors is an integer number (9047871).

Almost surely, 2^101106016 is an apocalyptic number.

101106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101106016 is an abundant number, since it is smaller than the sum of its proper divisors (116042888).

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

101106016 is a wasteful number, since it uses less digits than its factorization.

101106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287254 (or 287246 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 101106016 is about 10055.1487308741. The cubic root of 101106016 is about 465.8638368777.

Adding to 101106016 its reverse (610601101), we get a palindrome (711707117).

The spelling of 101106016 in words is "one hundred one million, one hundred six thousand, sixteen".