105648829 has 24 divisors (see below), whose sum is σ = 132181632. Its totient is φ = 83416320.

The previous prime is 105648817. The next prime is 105648853. The reversal of 105648829 is 928846501.

105648829 = 382² + 383² + ... + 719².

It is a happy number.

It is not a de Polignac number, because 105648829 - 2⁹ = 105648317 is a prime.

It is a super-2 number, since 2×105648829² = 22323350138142482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105648859) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29932 + ... + 33274.

It is an arithmetic number, because the mean of its divisors is an integer number (5507568).

Almost surely, 2^105648829 is an apocalyptic number.

It is an amenable number.

105648829 is a deficient number, since it is larger than the sum of its proper divisors (26532803).

105648829 is a wasteful number, since it uses less digits than its factorization.

105648829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 105648829 is about 10278.5616211608. The cubic root of 105648829 is about 472.7391419368.

The spelling of 105648829 in words is "one hundred five million, six hundred forty-eight thousand, eight hundred twenty-nine".