101005641 has 12 divisors (see below), whose sum is σ = 159160560. Its totient is φ = 61215480.

The previous prime is 101005621. The next prime is 101005661. The reversal of 101005641 is 146500101.

101005641 is a `hidden beast` number, since 1 + 0 + 100 + 564 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101005621) and next prime (101005661).

It is not a de Polignac number, because 101005641 - 2⁵ = 101005609 is a prime.

It is a super-3 number, since 3×101005641³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101005621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510031 + ... + 510228.

It is an arithmetic number, because the mean of its divisors is an integer number (13263380).

Almost surely, 2^101005641 is an apocalyptic number.

101005641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101005641 is a deficient number, since it is larger than the sum of its proper divisors (58154919).

101005641 is a wasteful number, since it uses less digits than its factorization.

101005641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020276 (or 1020273 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101005641 is about 10050.1562674418. The cubic root of 101005641 is about 465.7096206489.

Adding to 101005641 its reverse (146500101), we get a palindrome (247505742).

The spelling of 101005641 in words is "one hundred one million, five thousand, six hundred forty-one".