101059055 has 32 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 74905600.

The previous prime is 101059031. The next prime is 101059069. The reversal of 101059055 is 550950101.

It is not a de Polignac number, because 101059055 - 2¹⁸ = 100796911 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529010 + ... + 529200.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^101059055 is an apocalyptic number.

101059055 is a deficient number, since it is larger than the sum of its proper divisors (29577745).

101059055 is a wasteful number, since it uses less digits than its factorization.

101059055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 1125, while the sum is 26.

The square root of 101059055 is about 10052.8132878314. The cubic root of 101059055 is about 465.7916986722.

The spelling of 101059055 in words is "one hundred one million, fifty-nine thousand, fifty-five".