100072166 has 16 divisors (see below), whose sum is σ = 159330240. Its totient is φ = 46976640.

The previous prime is 100072163. The next prime is 100072177. The reversal of 100072166 is 661270001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11240 + ... + 18068.

It is an arithmetic number, because the mean of its divisors is an integer number (9958140).

Almost surely, 2^100072166 is an apocalyptic number.

100072166 is a deficient number, since it is larger than the sum of its proper divisors (59258074).

100072166 is a wasteful number, since it uses less digits than its factorization.

100072166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 100072166 is about 10003.6076492433. The cubic root of 100072166 is about 464.2705114797.

The spelling of 100072166 in words is "one hundred million, seventy-two thousand, one hundred sixty-six".