8100109248 has 336 divisors, whose sum is σ = 28145232000. Its totient is φ = 2030622720.

The previous prime is 8100109247. The next prime is 8100109271. The reversal of 8100109248 is 8429010018.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8100109248² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100109243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2999803 + ... + 3002501.

Almost surely, 2^8100109248 is an apocalyptic number.

8100109248 is a gapful number since it is divisible by the number (88) 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 8100109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072616000).

8100109248 is an abundant number, since it is smaller than the sum of its proper divisors (20045122752).

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

8100109248 is a wasteful number, since it uses less digits than its factorization.

8100109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 8100109248 is about 90000.6069312869. The cubic root of 8100109248 is about 2008.3078791208.

The spelling of 8100109248 in words is "eight billion, one hundred million, one hundred nine thousand, two hundred forty-eight".