166742100 has 324 divisors, whose sum is σ = 643188000. Its totient is φ = 35925120.

The previous prime is 166742077. The next prime is 166742101. The reversal of 166742100 is 1247661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166742101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 837801 + ... + 837999.

Almost surely, 2^166742100 is an apocalyptic number.

166742100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321594000).

166742100 is an abundant number, since it is smaller than the sum of its proper divisors (476445900).

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

166742100 is a wasteful number, since it uses less digits than its factorization.

166742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 166742100 is about 12912.8656773003. The cubic root of 166742100 is about 550.4042207528.

Adding to 166742100 its reverse (1247661), we get a palindrome (167989761).

The spelling of 166742100 in words is "one hundred sixty-six million, seven hundred forty-two thousand, one hundred".