100282500 has 90 divisors (see below), whose sum is σ = 316834518. Its totient is φ = 26736000.

The previous prime is 100282499. The next prime is 100282529. The reversal of 100282500 is 5282001.

It can be written as a sum of positive squares in 5 ways, for example, as 29419776 + 70862724 = 5424^2 + 8418^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20272 + ... + 24728.

Almost surely, 2^100282500 is an apocalyptic number.

100282500 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 100282500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158417259).

100282500 is an abundant number, since it is smaller than the sum of its proper divisors (216552018).

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

100282500 is a wasteful number, since it uses less digits than its factorization.

100282500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100282500 is about 10014.1150382847. The cubic root of 100282500 is about 464.5955553681.

The spelling of 100282500 in words is "one hundred million, two hundred eighty-two thousand, five hundred".