20100109824 has 200 divisors, whose sum is σ = 60304106808. Its totient is φ = 6665379840.

The previous prime is 20100109801. The next prime is 20100109847. The reversal of 20100109824 is 42890100102.

It is an interprime number because it is at equal distance from previous prime (20100109801) and next prime (20100109847).

It is a super-6 number, since 6×20100109824⁶ (a number of 63 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8749444 + ... + 8751740.

Almost surely, 2^20100109824 is an apocalyptic number.

20100109824 is a gapful number since it is divisible by the number (24) 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 20100109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30152053404).

20100109824 is an abundant number, since it is smaller than the sum of its proper divisors (40203996984).

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

20100109824 is an equidigital number, since it uses as much as digits as its factorization.

20100109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 20100109824 its reverse (42890100102), we get a palindrome (62990209926).

The spelling of 20100109824 in words is "twenty billion, one hundred million, one hundred nine thousand, eight hundred twenty-four".