101640591 has 48 divisors (see below), whose sum is σ = 165818016. Its totient is φ = 59574528.

The previous prime is 101640587. The next prime is 101640631. The reversal of 101640591 is 195046101.

101640591 is a `hidden beast` number, since 10 + 1 + 64 + 0 + 591 = 666.

It is not a de Polignac number, because 101640591 - 2² = 101640587 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101640521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229216 + ... + 229658.

It is an arithmetic number, because the mean of its divisors is an integer number (3454542).

Almost surely, 2^101640591 is an apocalyptic number.

101640591 is a deficient number, since it is larger than the sum of its proper divisors (64177425).

101640591 is a wasteful number, since it uses less digits than its factorization.

101640591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101640591 is about 10081.6958394905. The cubic root of 101640591 is about 466.6834436712.

Adding to 101640591 its reverse (195046101), we get a palindrome (296686692).

The spelling of 101640591 in words is "one hundred one million, six hundred forty thousand, five hundred ninety-one".