10605985170900 has 144 divisors (see below), whose sum is σ = 36201762938880. Its totient is φ = 2346024355200.

The previous prime is 10605985170883. The next prime is 10605985170929. The reversal of 10605985170900 is 907158950601.

It is a super-2 number, since 2×10605985170900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 81394080 + ... + 81524279.

It is an arithmetic number, because the mean of its divisors is an integer number (251401131520).

Almost surely, 2^{10605985170900} is an apocalyptic number.

10605985170900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605985170900 is an abundant number, since it is smaller than the sum of its proper divisors (25595777767980).

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

10605985170900 is a wasteful number, since it uses less digits than its factorization.

10605985170900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162918414 (or 162918407 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 51.

The spelling of 10605985170900 in words is "ten trillion, six hundred five billion, nine hundred eighty-five million, one hundred seventy thousand, nine hundred".