166292684100 has 405 divisors, whose sum is σ = 566386359847. Its totient is φ = 42201371520.

The previous prime is 166292684059. The next prime is 166292684111. The reversal of 166292684100 is 1486292661.

The square root of 166292684100 is 407790.

It is a perfect power (a square), and thus also a powerful number.

166292684100 is a `hidden beast` number, since 1 + 6 + 629 + 2 + 6 + 8 + 4 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38346255684 + 127946428416 = 195822^2 + 357696^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 844125202 + ... + 844125398.

Almost surely, 2^166292684100 is an apocalyptic number.

166292684100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166292684100 is the 407790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166292684100

166292684100 is an abundant number, since it is smaller than the sum of its proper divisors (400093675747).

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

166292684100 is a wasteful number, since it uses less digits than its factorization.

166292684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 166292684100 in words is "one hundred sixty-six billion, two hundred ninety-two million, six hundred eighty-four thousand, one hundred".