10506055001055 has 32 divisors (see below), whose sum is σ = 16873151986944. Its totient is φ = 5582103453696.

The previous prime is 10506055001041. The next prime is 10506055001153. The reversal of 10506055001055 is 55010055060501.

It is not a de Polignac number, because 10506055001055 - 2⁹ = 10506055000543 is a prime.

It is a super-2 number, since 2×10506055001055² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4946527 + ... + 6743903.

It is an arithmetic number, because the mean of its divisors is an integer number (527285999592).

Almost surely, 2^{10506055001055} is an apocalyptic number.

10506055001055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10506055001055 is a deficient number, since it is larger than the sum of its proper divisors (6367096985889).

10506055001055 is a wasteful number, since it uses less digits than its factorization.

10506055001055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798855.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 10506055001055 in words is "ten trillion, five hundred six billion, fifty-five million, one thousand, fifty-five".