10605105500 has 72 divisors (see below), whose sum is σ = 25458708912. Its totient is φ = 3856380000.

The previous prime is 10605105491. The next prime is 10605105503. The reversal of 10605105500 is 550150601.

It is a super-2 number, since 2×10605105500² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605105503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27146 + ... + 148145.

Almost surely, 2^10605105500 is an apocalyptic number.

10605105500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605105500 is an abundant number, since it is smaller than the sum of its proper divisors (14853603412).

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

10605105500 is a wasteful number, since it uses less digits than its factorization.

10605105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175332 (or 175309 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 10605105500 in words is "ten billion, six hundred five million, one hundred five thousand, five hundred".