10106005561660 has 48 divisors (see below), whose sum is σ = 21625298406432. Its totient is φ = 3965715936000.

The previous prime is 10106005561649. The next prime is 10106005561693. The reversal of 10106005561660 is 6616550060101.

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 15 ways as a sum of consecutive naturals, for example, 9747235 + ... + 10734085.

It is an arithmetic number, because the mean of its divisors is an integer number (450527050134).

Almost surely, 2^{10106005561660} is an apocalyptic number.

10106005561660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106005561660 is an abundant number, since it is smaller than the sum of its proper divisors (11519292844772).

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

10106005561660 is a wasteful number, since it uses less digits than its factorization.

10106005561660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996574 (or 996572 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10106005561660 in words is "ten trillion, one hundred six billion, five million, five hundred sixty-one thousand, six hundred sixty".