105029106 has 48 divisors (see below), whose sum is σ = 259971264. Its totient is φ = 27698112.

The previous prime is 105029101. The next prime is 105029117. The reversal of 105029106 is 601920501.

105029106 = 1029² + 1030² + ... + 1119².

It is a super-2 number, since 2×105029106² = 22062226214318472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105029101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301 + ... + 14496.

It is an arithmetic number, because the mean of its divisors is an integer number (5416068).

Almost surely, 2^105029106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105029106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129985632).

105029106 is an abundant number, since it is smaller than the sum of its proper divisors (154942158).

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

105029106 is a wasteful number, since it uses less digits than its factorization.

105029106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14835 (or 14822 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 105029106 is about 10248.3708949276. The cubic root of 105029106 is about 471.8129854968.

Adding to 105029106 its reverse (601920501), we get a palindrome (706949607).

The spelling of 105029106 in words is "one hundred five million, twenty-nine thousand, one hundred six".