10005605060 has 24 divisors (see below), whose sum is σ = 22921932096. Its totient is φ = 3638401760.

The previous prime is 10005605047. The next prime is 10005605117. The reversal of 10005605060 is 6050650001.

It is a super-2 number, since 2×10005605060² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22739792 + ... + 22740231.

It is an arithmetic number, because the mean of its divisors is an integer number (955080504).

Almost surely, 2^10005605060 is an apocalyptic number.

10005605060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005605060 is an abundant number, since it is smaller than the sum of its proper divisors (12916327036).

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

10005605060 is a wasteful number, since it uses less digits than its factorization.

10005605060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45480043 (or 45480041 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 10005605060 in words is "ten billion, five million, six hundred five thousand, sixty".