10505010605160 has 32 divisors (see below), whose sum is σ = 31515031815840. Its totient is φ = 2801336161344.

The previous prime is 10505010605153. The next prime is 10505010605183. The reversal of 10505010605160 is 6150601050501.

It is a super-2 number, since 2×10505010605160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43770877402 + ... + 43770877641.

It is an arithmetic number, because the mean of its divisors is an integer number (984844744245).

Almost surely, 2^{10505010605160} is an apocalyptic number.

10505010605160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505010605160 is an abundant number, since it is smaller than the sum of its proper divisors (21010021210680).

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

10505010605160 is a wasteful number, since it uses less digits than its factorization.

10505010605160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87541755057 (or 87541755053 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 10505010605160 its reverse (6150601050501), we get a palindrome (16655611655661).

The spelling of 10505010605160 in words is "ten trillion, five hundred five billion, ten million, six hundred five thousand, one hundred sixty".