166406772100 has 18 divisors (see below), whose sum is σ = 361102695674. Its totient is φ = 66562708800.

The previous prime is 166406772089. The next prime is 166406772109. The reversal of 166406772100 is 1277604661.

166406772100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2031665476 + 164375106624 = 45074^2 + 405432^2 .

It is not an unprimeable number, because it can be changed into a prime (166406772109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 832033761 + ... + 832033960.

Almost surely, 2^166406772100 is an apocalyptic number.

166406772100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166406772100 is an abundant number, since it is smaller than the sum of its proper divisors (194695923574).

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

166406772100 is a wasteful number, since it uses less digits than its factorization.

166406772100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664067735 (or 1664067728 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 166406772100 in words is "one hundred sixty-six billion, four hundred six million, seven hundred seventy-two thousand, one hundred".