166101000 has 128 divisors (see below), whose sum is σ = 558230400. Its totient is φ = 40876800.

The previous prime is 166100981. The next prime is 166101031. The reversal of 166101000 is 101661.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36871 + ... + 41129.

It is an arithmetic number, because the mean of its divisors is an integer number (4361175).

Almost surely, 2^166101000 is an apocalyptic number.

166101000 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 166101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279115200).

166101000 is an abundant number, since it is smaller than the sum of its proper divisors (392129400).

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

166101000 is a wasteful number, since it uses less digits than its factorization.

166101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4282 counting only the distinct ones).

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

The square root of 166101000 is about 12888.0176908631. The cubic root of 166101000 is about 549.6979057267.

Adding to 166101000 its reverse (101661), we get a palindrome (166202661).

It can be divided in two parts, 16 and 6101000, that added together give a palindrome (6101016).

The spelling of 166101000 in words is "one hundred sixty-six million, one hundred one thousand".