100076284 has 48 divisors (see below), whose sum is σ = 221389056. Its totient is φ = 38448000.

The previous prime is 100076261. The next prime is 100076299. The reversal of 100076284 is 482670001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20259 + ... + 24709.

It is an arithmetic number, because the mean of its divisors is an integer number (4612272).

Almost surely, 2^100076284 is an apocalyptic number.

100076284 is a gapful number since it is divisible by the number (14) 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 100076284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110694528).

100076284 is an abundant number, since it is smaller than the sum of its proper divisors (121312772).

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

100076284 is a wasteful number, since it uses less digits than its factorization.

100076284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 100076284 is about 10003.8134728712. The cubic root of 100076284 is about 464.2768796831.

It can be divided in two parts, 1000 and 76284, that added together give a square (77284 = 278²).

The spelling of 100076284 in words is "one hundred million, seventy-six thousand, two hundred eighty-four".