10505610555 has 32 divisors (see below), whose sum is σ = 18346901760. Its totient is φ = 5090897280.

The previous prime is 10505610541. The next prime is 10505610589. The reversal of 10505610555 is 55501650501.

It is not a de Polignac number, because 10505610555 - 2⁴ = 10505610539 is a prime.

It is a super-2 number, since 2×10505610555² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 310449 + ... + 342621.

It is an arithmetic number, because the mean of its divisors is an integer number (573340680).

Almost surely, 2^10505610555 is an apocalyptic number.

10505610555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10505610555 is a deficient number, since it is larger than the sum of its proper divisors (7841291205).

10505610555 is a wasteful number, since it uses less digits than its factorization.

10505610555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34171.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 10505610555 in words is "ten billion, five hundred five million, six hundred ten thousand, five hundred fifty-five".