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10010552105 = 552310133779
BaseRepresentation
bin10010101001010110…
…01110011100101001
3221211122121201220002
421110223032130221
5131000200131410
64333200512345
7503033201051
oct112453163451
927748551802
1010010552105
114277771a64
121b3461b6b5
13c36c43418
146ad70c561
153d8c947a5
hex254ace729

10010552105 has 16 divisors (see below), whose sum is σ = 12050700480. Its totient is φ = 7983125568.

The previous prime is 10010552047. The next prime is 10010552107. The reversal of 10010552105 is 50125501001.

It is a happy number.

10010552105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010552105 - 214 = 10010535721 is a prime.

It is a super-2 number, since 2×100105521052 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010552107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2647106 + ... + 2650884.

It is an arithmetic number, because the mean of its divisors is an integer number (753168780).

Almost surely, 210010552105 is an apocalyptic number.

It is an amenable number.

10010552105 is a deficient number, since it is larger than the sum of its proper divisors (2040148375).

10010552105 is a wasteful number, since it uses less digits than its factorization.

10010552105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320.

The product of its (nonzero) digits is 250, while the sum is 20.

The spelling of 10010552105 in words is "ten billion, ten million, five hundred fifty-two thousand, one hundred five".

Divisors: 1 5 523 1013 2615 3779 5065 18895 529799 1976417 2648995 3828127 9882085 19140635 2002110421 10010552105