166121700 has 72 divisors (see below), whose sum is σ = 483844032. Its totient is φ = 44004480.

The previous prime is 166121689. The next prime is 166121713. The reversal of 166121700 is 7121661.

166121700 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45337 + ... + 48863.

It is an arithmetic number, because the mean of its divisors is an integer number (6720056).

Almost surely, 2^166121700 is an apocalyptic number.

166121700 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 166121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241922016).

166121700 is an abundant number, since it is smaller than the sum of its proper divisors (317722332).

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

166121700 is a wasteful number, since it uses less digits than its factorization.

166121700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 166121700 is about 12888.8207373677. The cubic root of 166121700 is about 549.7207397735.

The spelling of 166121700 in words is "one hundred sixty-six million, one hundred twenty-one thousand, seven hundred".