166673100 has 144 divisors (see below), whose sum is σ = 557214336. Its totient is φ = 38016000.

The previous prime is 166673051. The next prime is 166673107. The reversal of 166673100 is 1376661.

It is a super-2 number, since 2×166673100² = 55559844527220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (166673107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54615 + ... + 57585.

It is an arithmetic number, because the mean of its divisors is an integer number (3869544).

Almost surely, 2^166673100 is an apocalyptic number.

166673100 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 166673100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278607168).

166673100 is an abundant number, since it is smaller than the sum of its proper divisors (390541236).

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

166673100 is a wasteful number, since it uses less digits than its factorization.

166673100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 166673100 is about 12910.1936468823. The cubic root of 166673100 is about 550.3282888575.

The spelling of 166673100 in words is "one hundred sixty-six million, six hundred seventy-three thousand, one hundred".