10406505135 has 32 divisors (see below), whose sum is σ = 18710834688. Its totient is φ = 4900452480.

The previous prime is 10406505133. The next prime is 10406505169. The reversal of 10406505135 is 53150560401.

It is not a de Polignac number, because 10406505135 - 2¹ = 10406505133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406505133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155661 + ... + 1164630.

It is an arithmetic number, because the mean of its divisors is an integer number (584713584).

Almost surely, 2^10406505135 is an apocalyptic number.

10406505135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10406505135 is a deficient number, since it is larger than the sum of its proper divisors (8304329553).

10406505135 is a wasteful number, since it uses less digits than its factorization.

10406505135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320335.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 10406505135 in words is "ten billion, four hundred six million, five hundred five thousand, one hundred thirty-five".