66165100 has 36 divisors (see below), whose sum is σ = 145021968. Its totient is φ = 26200000.

The previous prime is 66165097. The next prime is 66165101. The reversal of 66165100 is 156166.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (66165101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6825 + ... + 13375.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2^66165100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72510984).

66165100 is an abundant number, since it is smaller than the sum of its proper divisors (78856868).

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

66165100 is a wasteful number, since it uses less digits than its factorization.

66165100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 66165100 is about 8134.1932605514. The cubic root of 66165100 is about 404.4606955749.

The spelling of 66165100 in words is "sixty-six million, one hundred sixty-five thousand, one hundred".