10505606010 has 64 divisors (see below), whose sum is σ = 25440307200. Its totient is φ = 2776403520.

The previous prime is 10505606009. The next prime is 10505606011. The reversal of 10505606010 is 1060650501.

It is an interprime number because it is at equal distance from previous prime (10505606009) and next prime (10505606011).

It is a super-2 number, since 2×10505606010² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505606011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566765 + ... + 1573455.

It is an arithmetic number, because the mean of its divisors is an integer number (397504800).

Almost surely, 2^10505606010 is an apocalyptic number.

10505606010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505606010 is an abundant number, since it is smaller than the sum of its proper divisors (14934701190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10505606010 is a wasteful number, since it uses less digits than its factorization.

10505606010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10505606010 in words is "ten billion, five hundred five million, six hundred six thousand, ten".