100766001660 has 48 divisors (see below), whose sum is σ = 286118687232. Its totient is φ = 26492468800.

The previous prime is 100766001643. The next prime is 100766001689. The reversal of 100766001660 is 66100667001.

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, 11822736 + ... + 11831255.

It is an arithmetic number, because the mean of its divisors is an integer number (5960805984).

Almost surely, 2^100766001660 is an apocalyptic number.

100766001660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100766001660 is an abundant number, since it is smaller than the sum of its proper divisors (185352685572).

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

100766001660 is a wasteful number, since it uses less digits than its factorization.

100766001660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23654074 (or 23654072 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

Adding to 100766001660 its reverse (66100667001), we get a palindrome (166866668661).

The spelling of 100766001660 in words is "one hundred billion, seven hundred sixty-six million, one thousand, six hundred sixty".