100166264 has 64 divisors (see below), whose sum is σ = 212509440. Its totient is φ = 43868160.

The previous prime is 100166263. The next prime is 100166279. The reversal of 100166264 is 462661001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100166263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389624 + ... + 389880.

It is an arithmetic number, because the mean of its divisors is an integer number (3320460).

Almost surely, 2^100166264 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 100166264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106254720).

100166264 is an abundant number, since it is smaller than the sum of its proper divisors (112343176).

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

100166264 is a wasteful number, since it uses less digits than its factorization.

100166264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 100166264 is about 10008.3097474049. The cubic root of 100166264 is about 464.4159839672.

The spelling of 100166264 in words is "one hundred million, one hundred sixty-six thousand, two hundred sixty-four".