100266876 has 96 divisors (see below), whose sum is σ = 276460800. Its totient is φ = 31337280.

The previous prime is 100266871. The next prime is 100266877. The reversal of 100266876 is 678662001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100266876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100266871) 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 31 ways as a sum of consecutive naturals, for example, 268626 + ... + 268998.

It is an arithmetic number, because the mean of its divisors is an integer number (2879800).

Almost surely, 2^100266876 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 100266876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138230400).

100266876 is an abundant number, since it is smaller than the sum of its proper divisors (176193924).

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

100266876 is a wasteful number, since it uses less digits than its factorization.

100266876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 100266876 is about 10013.3349090101. The cubic root of 100266876 is about 464.5714261399.

The spelling of 100266876 in words is "one hundred million, two hundred sixty-six thousand, eight hundred seventy-six".