101055591 has 36 divisors (see below), whose sum is σ = 182872872. Its totient is φ = 53301024.

The previous prime is 101055569. The next prime is 101055601. The reversal of 101055591 is 195550101.

101055591 is a `hidden beast` number, since 1 + 0 + 105 + 559 + 1 = 666.

It is not a de Polignac number, because 101055591 - 2¹⁰ = 101054567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101055511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3081 + ... + 14546.

It is an arithmetic number, because the mean of its divisors is an integer number (5079802).

Almost surely, 2^101055591 is an apocalyptic number.

101055591 is a deficient number, since it is larger than the sum of its proper divisors (81817281).

101055591 is a wasteful number, since it uses less digits than its factorization.

101055591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17660 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The square root of 101055591 is about 10052.6409962756. The cubic root of 101055591 is about 465.7863766326.

The spelling of 101055591 in words is "one hundred one million, fifty-five thousand, five hundred ninety-one".