101535848055 has 32 divisors (see below), whose sum is σ = 180549515520. Its totient is φ = 54140050080.

The previous prime is 101535848023. The next prime is 101535848069. The reversal of 101535848055 is 550848535101.

101535848055 is a `hidden beast` number, since 1 + 0 + 15 + 3 + 584 + 8 + 0 + 55 = 666.

It is not a de Polignac number, because 101535848055 - 2⁵ = 101535848023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 101535848055.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521320 + ... + 689090.

It is an arithmetic number, because the mean of its divisors is an integer number (5642172360).

Almost surely, 2^101535848055 is an apocalyptic number.

101535848055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101535848055 is a deficient number, since it is larger than the sum of its proper divisors (79013667465).

101535848055 is a wasteful number, since it uses less digits than its factorization.

101535848055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172268 (or 172262 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 101535848055 in words is "one hundred one billion, five hundred thirty-five million, eight hundred forty-eight thousand, fifty-five".