10105011 has 12 divisors (see below), whose sum is σ = 16681392. Its totient is φ = 5774256.

The previous prime is 10104967. The next prime is 10105013. The reversal of 10105011 is 11050101.

It is not a de Polignac number, because 10105011 - 2¹⁰ = 10103987 is a prime.

It is a super-2 number, since 2×10105011² = 204222494620242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10104984 and 10105002.

It is not an unprimeable number, because it can be changed into a prime (10105013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80136 + ... + 80261.

It is an arithmetic number, because the mean of its divisors is an integer number (1390116).

Almost surely, 2^10105011 is an apocalyptic number.

10105011 is a deficient number, since it is larger than the sum of its proper divisors (6576381).

10105011 is a wasteful number, since it uses less digits than its factorization.

10105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160410 (or 160407 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 10105011 is about 3178.8379952429. The cubic root of 10105011 is about 216.1949756982.

Adding to 10105011 its reverse (11050101), we get a palindrome (21155112).

The spelling of 10105011 in words is "ten million, one hundred five thousand, eleven".