100006641 has 12 divisors (see below), whose sum is σ = 165090432. Its totient is φ = 57146616.

The previous prime is 100006639. The next prime is 100006661. The reversal of 100006641 is 146600001.

100006641 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 664 + 1 = 666.

It is not a de Polignac number, because 100006641 - 2¹ = 100006639 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100006661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793641 + ... + 793766.

It is an arithmetic number, because the mean of its divisors is an integer number (13757536).

Almost surely, 2^100006641 is an apocalyptic number.

It is an amenable number.

100006641 is a deficient number, since it is larger than the sum of its proper divisors (65083791).

100006641 is a wasteful number, since it uses less digits than its factorization.

100006641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587420 (or 1587417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100006641 is about 10000.3320444873. The cubic root of 100006641 is about 464.1691580643.

Adding to 100006641 its reverse (146600001), we get a palindrome (246606642).

It can be divided in two parts, 10000 and 6641, that added together give a square (16641 = 129²).

The spelling of 100006641 in words is "one hundred million, six thousand, six hundred forty-one".