10166100 has 144 divisors (see below), whose sum is σ = 34664448. Its totient is φ = 2252160.

The previous prime is 10166099. The next prime is 10166129. The reversal of 10166100 is 166101.

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 10166100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98649 + ... + 98751.

Almost surely, 2^10166100 is an apocalyptic number.

10166100 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 10166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332224).

10166100 is an abundant number, since it is smaller than the sum of its proper divisors (24498348).

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

10166100 is a wasteful number, since it uses less digits than its factorization.

10166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

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

The square root of 10166100 is about 3188.4322166231. The cubic root of 10166100 is about 216.6297636032.

Subtracting from 10166100 its reverse (166101), we obtain a palindrome (9999999).

The spelling of 10166100 in words is "ten million, one hundred sixty-six thousand, one hundred".