166010100 has 144 divisors (see below), whose sum is σ = 521091648. Its totient is φ = 40642560.

The previous prime is 166010081. The next prime is 166010101. The reversal of 166010100 is 1010661.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 166010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166010101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218922 + ... + 219678.

It is an arithmetic number, because the mean of its divisors is an integer number (3618692).

Almost surely, 2^166010100 is an apocalyptic number.

166010100 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 166010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260545824).

166010100 is an abundant number, since it is smaller than the sum of its proper divisors (355081548).

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

166010100 is a wasteful number, since it uses less digits than its factorization.

166010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 166010100 is about 12884.4906767788. The cubic root of 166010100 is about 549.5976120150.

Adding to 166010100 its reverse (1010661), we get a palindrome (167020761).

The spelling of 166010100 in words is "one hundred sixty-six million, ten thousand, one hundred".