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100840896 = 263313672
BaseRepresentation
bin1100000001010…
…11010111000000
321000202020201000
412000223113000
5201303402041
614001212000
72333063532
oct600532700
9230666630
10100840896
1151a16292
1229931000
1317b79490
14d56d852
158cbdbb6
hex602b5c0

100840896 has 168 divisors, whose sum is σ = 324093840. Its totient is φ = 30564864.

The previous prime is 100840849. The next prime is 100840913. The reversal of 100840896 is 698048001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100840896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505055 + ... + 1505121.

It is an arithmetic number, because the mean of its divisors is an integer number (1929130).

Almost surely, 2100840896 is an apocalyptic number.

100840896 is a gapful number since it is divisible by the number (16) 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 100840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162046920).

100840896 is an abundant number, since it is smaller than the sum of its proper divisors (223252944).

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

100840896 is an equidigital number, since it uses as much as digits as its factorization.

100840896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 100840896 is about 10041.9567814246. The cubic root of 100840896 is about 465.4562846911.

Adding to 100840896 its reverse (698048001), we get a palindrome (798888897).

The spelling of 100840896 in words is "one hundred million, eight hundred forty thousand, eight hundred ninety-six".