101106306 has 120 divisors (see below), whose sum is σ = 270141696. Its totient is φ = 28168560.

The previous prime is 101106263. The next prime is 101106307. The reversal of 101106306 is 603601101.

It is a super-2 number, since 2×101106306² = 20444970225931272, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106307) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 372951 + ... + 373221.

Almost surely, 2^101106306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101106306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135070848).

101106306 is an abundant number, since it is smaller than the sum of its proper divisors (169035390).

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

101106306 is a wasteful number, since it uses less digits than its factorization.

101106306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101106306 is about 10055.1631513367. The cubic root of 101106306 is about 465.8642822860.

Adding to 101106306 its reverse (603601101), we get a palindrome (704707407).

The spelling of 101106306 in words is "one hundred one million, one hundred six thousand, three hundred six".