105101106 has 64 divisors (see below), whose sum is σ = 244394496. Its totient is φ = 29779200.

The previous prime is 105101083. The next prime is 105101107. The reversal of 105101106 is 601101501.

It is a super-2 number, since 2×105101106² = 22092484964846472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105101107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317361 + ... + 317691.

It is an arithmetic number, because the mean of its divisors is an integer number (3818664).

Almost surely, 2^105101106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105101106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122197248).

105101106 is an abundant number, since it is smaller than the sum of its proper divisors (139293390).

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

105101106 is a wasteful number, since it uses less digits than its factorization.

105101106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 105101106 is about 10251.8830465432. The cubic root of 105101106 is about 471.9207739523.

Adding to 105101106 its reverse (601101501), we get a palindrome (706202607).

The spelling of 105101106 in words is "one hundred five million, one hundred one thousand, one hundred six".