10100466288 has 240 divisors, whose sum is σ = 32060448000. Its totient is φ = 3042230400.

The previous prime is 10100466287. The next prime is 10100466331. The reversal of 10100466288 is 88266400101.

10100466288 is a `hidden beast` number, since 10 + 10 + 0 + 4 + 6 + 628 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100466287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10401643 + ... + 10402613.

It is an arithmetic number, because the mean of its divisors is an integer number (133585200).

Almost surely, 2^10100466288 is an apocalyptic number.

10100466288 is a gapful number since it is divisible by the number (18) 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 10100466288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224000).

10100466288 is an abundant number, since it is smaller than the sum of its proper divisors (21959981712).

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

10100466288 is a wasteful number, since it uses less digits than its factorization.

10100466288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 10100466288 its reverse (88266400101), we get a palindrome (98366866389).

The spelling of 10100466288 in words is "ten billion, one hundred million, four hundred sixty-six thousand, two hundred eighty-eight".