1000106646 has 64 divisors (see below), whose sum is σ = 2518580736. Its totient is φ = 257184000.

The previous prime is 1000106603. The next prime is 1000106663. The reversal of 1000106646 is 6466010001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35946 + ... + 57378.

It is an arithmetic number, because the mean of its divisors is an integer number (39352824).

Almost surely, 2^1000106646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000106646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259290368).

1000106646 is an abundant number, since it is smaller than the sum of its proper divisors (1518474090).

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

1000106646 is a wasteful number, since it uses less digits than its factorization.

1000106646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21557.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1000106646 is about 31624.4627780457. The cubic root of 1000106646 is about 1000.0355474030.

Adding to 1000106646 its reverse (6466010001), we get a palindrome (7466116647).

The spelling of 1000106646 in words is "one billion, one hundred six thousand, six hundred forty-six".