100095282630 has 960 divisors, whose sum is σ = 357540480000. Its totient is φ = 19916886528.

The previous prime is 100095282619. The next prime is 100095282631. The reversal of 100095282630 is 36282590001.

100095282630 is a `hidden beast` number, since 10 + 0 + 0 + 9 + 5 + 2 + 8 + 2 + 630 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100095282631) 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 479 ways as a sum of consecutive naturals, for example, 502991271 + ... + 502991469.

It is an arithmetic number, because the mean of its divisors is an integer number (372438000).

Almost surely, 2^100095282630 is an apocalyptic number.

100095282630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100095282630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178770240000).

100095282630 is an abundant number, since it is smaller than the sum of its proper divisors (257445197370).

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

100095282630 is a wasteful number, since it uses less digits than its factorization.

100095282630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100095282630 in words is "one hundred billion, ninety-five million, two hundred eighty-two thousand, six hundred thirty".